diff --git a/.README/rules/require-jsdoc.md b/.README/rules/require-jsdoc.md
index b04e380ef..857dfd234 100644
--- a/.README/rules/require-jsdoc.md
+++ b/.README/rules/require-jsdoc.md
@@ -73,11 +73,19 @@ no parameters or return values are found.
 
 ##### `checkGetters`
 
-A value indicating whether getters should be checked. Defaults to `false`.
+A value indicating whether getters should be checked. Besides setting as a
+boolean, this option can be set to the string `"no-setter"` to indicate that
+getters should be checked but only when there is no setter. This may be useful
+if one only wishes documentation on one of the two accessors. Defaults to
+`false`.
 
 ##### `checkSetters`
 
-A value indicating whether setters should be checked. Defaults to `false`.
+A value indicating whether setters should be checked. Besides setting as a
+boolean, this option can be set to the string `"no-getter"` to indicate that
+setters should be checked but only when there is no getter. This may be useful
+if one only wishes documentation on one of the two accessors. Defaults to
+`false`.
 
 ##### `enableFixer`
 
diff --git a/README.md b/README.md
index 0c19b8472..e42906ad2 100644
--- a/README.md
+++ b/README.md
@@ -10064,12 +10064,20 @@ no parameters or return values are found.
 <a name="eslint-plugin-jsdoc-rules-require-jsdoc-options-22-checkgetters-1"></a>
 ##### <code>checkGetters</code>
 
-A value indicating whether getters should be checked. Defaults to `false`.
+A value indicating whether getters should be checked. Besides setting as a
+boolean, this option can be set to the string `"no-setter"` to indicate that
+getters should be checked but only when there is no setter. This may be useful
+if one only wishes documentation on one of the two accessors. Defaults to
+`false`.
 
 <a name="eslint-plugin-jsdoc-rules-require-jsdoc-options-22-checksetters-1"></a>
 ##### <code>checkSetters</code>
 
-A value indicating whether setters should be checked. Defaults to `false`.
+A value indicating whether setters should be checked. Besides setting as a
+boolean, this option can be set to the string `"no-getter"` to indicate that
+setters should be checked but only when there is no getter. This may be useful
+if one only wishes documentation on one of the two accessors. Defaults to
+`false`.
 
 <a name="eslint-plugin-jsdoc-rules-require-jsdoc-options-22-enablefixer-2"></a>
 ##### <code>enableFixer</code>
@@ -10761,6 +10769,24 @@ requestAnimationFrame(draw)
 function bench() {
 }
 // Message: Missing JSDoc comment.
+
+class Foo {
+  set aName (val) {}
+}
+// "jsdoc/require-jsdoc": ["error"|"warn", {"checkSetters":"no-getter","contexts":["MethodDefinition > FunctionExpression"]}]
+// Message: Missing JSDoc comment.
+
+class Foo {
+  get aName () {}
+}
+// "jsdoc/require-jsdoc": ["error"|"warn", {"checkGetters":"no-setter","contexts":["MethodDefinition > FunctionExpression"]}]
+// Message: Missing JSDoc comment.
+
+const obj = {
+  get aName () {},
+}
+// "jsdoc/require-jsdoc": ["error"|"warn", {"checkGetters":"no-setter","contexts":["Property > FunctionExpression"]}]
+// Message: Missing JSDoc comment.
 ````
 
 The following patterns are not considered problems:
@@ -11478,6 +11504,50 @@ class Foo {
 }
 // "jsdoc/require-jsdoc": ["error"|"warn", {"checkConstructors":false,"require":{"MethodDefinition":true}}]
 
+class Foo {
+  get aName () {}
+  set aName (val) {}
+}
+// "jsdoc/require-jsdoc": ["error"|"warn", {"checkGetters":"no-setter","checkSetters":false,"contexts":["MethodDefinition > FunctionExpression"]}]
+
+const obj = {
+  get aName () {},
+  set aName (val) {}
+}
+// "jsdoc/require-jsdoc": ["error"|"warn", {"checkGetters":"no-setter","checkSetters":false,"contexts":["Property > FunctionExpression"]}]
+
+class Foo {
+  set aName (val) {}
+}
+// "jsdoc/require-jsdoc": ["error"|"warn", {"checkSetters":false,"contexts":["MethodDefinition > FunctionExpression"]}]
+
+class Foo {
+  get aName () {}
+}
+// "jsdoc/require-jsdoc": ["error"|"warn", {"checkGetters":false,"contexts":["MethodDefinition > FunctionExpression"]}]
+
+class Foo {
+  /**
+   *
+   */
+  set aName (val) {}
+}
+// "jsdoc/require-jsdoc": ["error"|"warn", {"checkSetters":"no-getter","contexts":["MethodDefinition > FunctionExpression"]}]
+
+class Foo {
+  /**
+   *
+   */
+  get aName () {}
+}
+// "jsdoc/require-jsdoc": ["error"|"warn", {"checkGetters":"no-setter","contexts":["MethodDefinition > FunctionExpression"]}]
+
+class Foo {
+  get aName () {}
+  set aName (val) {}
+}
+// "jsdoc/require-jsdoc": ["error"|"warn", {"checkGetters":false,"checkSetters":"no-getter","contexts":["MethodDefinition > FunctionExpression"]}]
+
 class Base {
   constructor() {
   }
diff --git a/src/jsdocUtils.js b/src/jsdocUtils.js
index 142e659f9..34173a6dd 100644
--- a/src/jsdocUtils.js
+++ b/src/jsdocUtils.js
@@ -1138,6 +1138,17 @@ const isSetter = (node) => {
   return node && node.parent.kind === 'set';
 };
 
+const hasAccessorPair = (node) => {
+  const {type, kind: sourceKind, key: {name: sourceName}} = node;
+  const oppositeKind = sourceKind === 'get' ? 'set' : 'get';
+
+  const children = type === 'MethodDefinition' ? 'body' : 'properties';
+
+  return node.parent[children].some(({kind, key: {name}}) => {
+    return kind === oppositeKind && name === sourceName;
+  });
+};
+
 const exemptSpeciaMethods = (jsdoc, node, context, schema) => {
   const hasSchemaOption = (prop) => {
     const schemaProperties = schema[0].properties;
@@ -1146,6 +1157,9 @@ const exemptSpeciaMethods = (jsdoc, node, context, schema) => {
       (schemaProperties[prop] && schemaProperties[prop].default);
   };
 
+  const checkGetters = hasSchemaOption('checkGetters');
+  const checkSetters = hasSchemaOption('checkSetters');
+
   return !hasSchemaOption('checkConstructors') &&
     (
       isConstructor(node) ||
@@ -1153,10 +1167,14 @@ const exemptSpeciaMethods = (jsdoc, node, context, schema) => {
         'class',
         'constructor',
       ])) ||
-  !hasSchemaOption('checkGetters') &&
-    isGetter(node) ||
-  !hasSchemaOption('checkSetters') &&
-    isSetter(node);
+  isGetter(node) && (
+    !checkGetters ||
+    checkGetters === 'no-setter' && hasAccessorPair(node.parent)
+  ) ||
+  isSetter(node) && (
+    !checkSetters ||
+    checkSetters === 'no-getter' && hasAccessorPair(node.parent)
+  );
 };
 
 /**
diff --git a/src/rules/requireJsdoc.js b/src/rules/requireJsdoc.js
index cf30438e6..93cf19348 100644
--- a/src/rules/requireJsdoc.js
+++ b/src/rules/requireJsdoc.js
@@ -16,12 +16,28 @@ const OPTIONS_SCHEMA = {
       type: 'boolean',
     },
     checkGetters: {
+      anyOf: [
+        {
+          type: 'boolean',
+        },
+        {
+          enum: ['no-setter'],
+          type: 'string',
+        },
+      ],
       default: true,
-      type: 'boolean',
     },
     checkSetters: {
+      anyOf: [
+        {
+          type: 'boolean',
+        },
+        {
+          enum: ['no-getter'],
+          type: 'string',
+        },
+      ],
       default: true,
-      type: 'boolean',
     },
     contexts: {
       items: {
diff --git a/test/rules/assertions/requireJsdoc.js b/test/rules/assertions/requireJsdoc.js
index d194c74cc..76227836a 100644
--- a/test/rules/assertions/requireJsdoc.js
+++ b/test/rules/assertions/requireJsdoc.js
@@ -2991,6 +2991,87 @@ function quux (foo) {
       }
       `,
     },
+    {
+      code: `
+        class Foo {
+          set aName (val) {}
+        }
+      `,
+      errors: [
+        {
+          line: 3,
+          message: 'Missing JSDoc comment.',
+        },
+      ],
+      options: [
+        {
+          checkSetters: 'no-getter',
+          contexts: ['MethodDefinition > FunctionExpression'],
+        },
+      ],
+      output: `
+        class Foo {
+          /**
+           *
+           */
+          set aName (val) {}
+        }
+      `,
+    },
+    {
+      code: `
+        class Foo {
+          get aName () {}
+        }
+      `,
+      errors: [
+        {
+          line: 3,
+          message: 'Missing JSDoc comment.',
+        },
+      ],
+      options: [
+        {
+          checkGetters: 'no-setter',
+          contexts: ['MethodDefinition > FunctionExpression'],
+        },
+      ],
+      output: `
+        class Foo {
+          /**
+           *
+           */
+          get aName () {}
+        }
+      `,
+    },
+    {
+      code: `
+        const obj = {
+          get aName () {},
+        }
+      `,
+      errors: [
+        {
+          line: 3,
+          message: 'Missing JSDoc comment.',
+        },
+      ],
+      options: [
+        {
+          checkGetters: 'no-setter',
+          contexts: ['Property > FunctionExpression'],
+        },
+      ],
+      output: `
+        const obj = {
+          /**
+           *
+           */
+          get aName () {},
+        }
+      `,
+    },
   ],
   valid: [{
     code: `
@@ -4539,6 +4620,109 @@ function quux (foo) {
       },
     ],
   },
+  {
+    code: `
+      class Foo {
+        get aName () {}
+        set aName (val) {}
+      }
+    `,
+    options: [
+      {
+        checkGetters: 'no-setter',
+        checkSetters: false,
+        contexts: ['MethodDefinition > FunctionExpression'],
+      },
+    ],
+  },
+  {
+    code: `
+      const obj = {
+        get aName () {},
+        set aName (val) {}
+      }
+    `,
+    options: [
+      {
+        checkGetters: 'no-setter',
+        checkSetters: false,
+        contexts: ['Property > FunctionExpression'],
+      },
+    ],
+  },
+  {
+    code: `
+      class Foo {
+        set aName (val) {}
+      }
+    `,
+    options: [
+      {
+        checkSetters: false,
+        contexts: ['MethodDefinition > FunctionExpression'],
+      },
+    ],
+  },
+  {
+    code: `
+      class Foo {
+        get aName () {}
+      }
+    `,
+    options: [
+      {
+        checkGetters: false,
+        contexts: ['MethodDefinition > FunctionExpression'],
+      },
+    ],
+  },
+  {
+    code: `
+      class Foo {
+        /**
+         *
+         */
+        set aName (val) {}
+      }
+    `,
+    options: [
+      {
+        checkSetters: 'no-getter',
+        contexts: ['MethodDefinition > FunctionExpression'],
+      },
+    ],
+  },
+  {
+    code: `
+      class Foo {
+        /**
+         *
+         */
+        get aName () {}
+      }
+    `,
+    options: [
+      {
+        checkGetters: 'no-setter',
+        contexts: ['MethodDefinition > FunctionExpression'],
+      },
+    ],
+  },
+  {
+    code: `
+      class Foo {
+        get aName () {}
+        set aName (val) {}
+      }
+    `,
+    options: [
+      {
+        checkGetters: false,
+        checkSetters: 'no-getter',
+        contexts: ['MethodDefinition > FunctionExpression'],
+      },
+    ],
+  },
   {
     code: `
     class Base {