diff --git a/lib/rules/no-async-in-computed-properties.js b/lib/rules/no-async-in-computed-properties.js
index b405c0475..a762d3f58 100644
--- a/lib/rules/no-async-in-computed-properties.js
+++ b/lib/rules/no-async-in-computed-properties.js
@@ -58,6 +58,24 @@ function isPromise(node) {
   return false
 }
 
+/**
+ * @param {CallExpression} node
+ * @param {RuleContext} context
+ */
+function isNextTick(node, context) {
+  const callee = utils.skipChainExpression(node.callee)
+  if (callee.type === 'MemberExpression') {
+    const name = utils.getStaticPropertyName(callee)
+    return (
+      (utils.isThis(callee.object, context) && name === '$nextTick') ||
+      (callee.object.type === 'Identifier' &&
+        callee.object.name === 'Vue' &&
+        name === 'nextTick')
+    )
+  }
+  return false
+}
+
 // ------------------------------------------------------------------------------
 // Rule Definition
 // ------------------------------------------------------------------------------
@@ -90,6 +108,7 @@ module.exports = {
 
     const expressionTypes = {
       promise: 'asynchronous action',
+      nextTick: 'asynchronous action',
       await: 'await operator',
       async: 'async function declaration',
       new: 'Promise object',
@@ -211,6 +230,13 @@ module.exports = {
             'timed',
             info ? computedPropertiesMap.get(info.node) : null
           )
+        } else if (isNextTick(node, context)) {
+          verify(
+            node,
+            scopeStack.body,
+            'nextTick',
+            info ? computedPropertiesMap.get(info.node) : null
+          )
         }
       },
 
diff --git a/lib/rules/no-side-effects-in-computed-properties.js b/lib/rules/no-side-effects-in-computed-properties.js
index a0d508014..6e43266fb 100644
--- a/lib/rules/no-side-effects-in-computed-properties.js
+++ b/lib/rules/no-side-effects-in-computed-properties.js
@@ -83,15 +83,24 @@ module.exports = {
           )
         })
         if (computedProperty) {
-          if (!utils.isThis(node, context)) {
-            return
-          }
           const mem = node.parent
           if (mem.object !== node) {
             return
           }
 
-          const invalid = utils.findMutating(mem)
+          const isThis = utils.isThis(node, context)
+          const isVue = node.type === 'Identifier' && node.name === 'Vue'
+
+          const isVueSet =
+            mem.parent.type === 'CallExpression' &&
+            mem.property.type === 'Identifier' &&
+            ((isThis && mem.property.name === '$set') ||
+              (isVue && mem.property.name === 'set'))
+
+          const invalid = isVueSet
+            ? { node: mem.property }
+            : isThis && utils.findMutating(mem)
+
           if (invalid) {
             context.report({
               node: invalid.node,
diff --git a/tests/lib/rules/no-async-in-computed-properties.js b/tests/lib/rules/no-async-in-computed-properties.js
index a244c7747..ba6c0cd02 100644
--- a/tests/lib/rules/no-async-in-computed-properties.js
+++ b/tests/lib/rules/no-async-in-computed-properties.js
@@ -627,6 +627,69 @@ ruleTester.run('no-async-in-computed-properties', rule, {
         }
       ]
     },
+    {
+      filename: 'test.vue',
+      code: `
+      new Vue({
+        computed: {
+          foo () {
+            this.$nextTick(() => {})
+            Vue.nextTick(() => {})
+            return 'foo'
+          }
+        }
+      })
+      `,
+      parserOptions,
+      errors: [
+        {
+          message: 'Unexpected asynchronous action in "foo" computed property.',
+          line: 5
+        },
+        {
+          message: 'Unexpected asynchronous action in "foo" computed property.',
+          line: 6
+        }
+      ]
+    },
+    {
+      filename: 'test.vue',
+      code: `
+      new Vue({
+        computed: {
+          async foo () {
+            await this.$nextTick()
+            await Vue.nextTick()
+            return 'foo'
+          }
+        }
+      })
+      `,
+      parserOptions,
+      errors: [
+        {
+          message:
+            'Unexpected async function declaration in "foo" computed property.',
+          line: 4
+        },
+        {
+          message: 'Unexpected await operator in "foo" computed property.',
+          line: 5
+        },
+        {
+          message: 'Unexpected asynchronous action in "foo" computed property.',
+          line: 5
+        },
+        {
+          message: 'Unexpected await operator in "foo" computed property.',
+          line: 6
+        },
+        {
+          message: 'Unexpected asynchronous action in "foo" computed property.',
+          line: 6
+        }
+      ]
+    },
     {
       filename: 'test.vue',
       code: `
diff --git a/tests/lib/rules/no-side-effects-in-computed-properties.js b/tests/lib/rules/no-side-effects-in-computed-properties.js
index 7c4aabe95..dc62f933b 100644
--- a/tests/lib/rules/no-side-effects-in-computed-properties.js
+++ b/tests/lib/rules/no-side-effects-in-computed-properties.js
@@ -446,6 +446,28 @@ ruleTester.run('no-side-effects-in-computed-properties', rule, {
         'Unexpected side effect in "test3" computed property.'
       ]
     },
+    {
+      // https://github.com/vuejs/eslint-plugin-vue/issues/1744
+      code: `app.component('test', {
+        computed: {
+          fooBar() {
+            this.$set(this, 'foo', 'lorem');
+            Vue.set(this, 'bar', 'ipsum');
+            return this.foo + ' ' + this.bar
+          },
+        }
+      })`,
+      errors: [
+        {
+          line: 4,
+          message: 'Unexpected side effect in "fooBar" computed property.'
+        },
+        {
+          line: 5,
+          message: 'Unexpected side effect in "fooBar" computed property.'
+        }
+      ]
+    },
     {
       filename: 'test.vue',
       code: `