diff --git a/src/either_or_both.rs b/src/either_or_both.rs
index 28d1df757..ef3985f75 100644
--- a/src/either_or_both.rs
+++ b/src/either_or_both.rs
@@ -164,6 +164,33 @@ impl<A, B> EitherOrBoth<A, B> {
         }
     }
 
+    /// Returns a tuple consisting of the `l` and `r` in `Both(l, r)`, if present.
+    /// Otherwise, returns the wrapped value for the present element, and the supplied
+    /// value for the other. The first (`l`) argument is used for a missing `Left`
+    /// value. The second (`r`) argument is used for a missing `Right` value.
+    ///
+    /// Arguments passed to `or` are eagerly evaluated; if you are passing
+    /// the result of a function call, it is recommended to use [`or_else`],
+    /// which is lazily evaluated.
+    ///
+    /// [`or_else`]: EitherOrBoth::or_else
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// # use itertools::EitherOrBoth;
+    /// assert_eq!(EitherOrBoth::Both("tree", 1).or("stone", 5), ("tree", 1));
+    /// assert_eq!(EitherOrBoth::Left("tree").or("stone", 5), ("tree", 5));
+    /// assert_eq!(EitherOrBoth::Right(1).or("stone", 5), ("stone", 1));
+    /// ```
+    pub fn or(self, l: A, r: B) -> (A, B) {
+        match self {
+            Left(inner_l) => (inner_l, r),
+            Right(inner_r) => (l, inner_r),
+            Both(inner_l, inner_r) => (inner_l, inner_r),
+        }
+    }
+
     /// Returns a tuple consisting of the `l` and `r` in `Both(l, r)`, if present.
     /// Otherwise, returns the wrapped value for the present element, and the [`default`](Default::default)
     /// for the other.
@@ -178,6 +205,28 @@ impl<A, B> EitherOrBoth<A, B> {
             EitherOrBoth::Both(l, r) => (l, r),
         }
     }
+
+    /// Returns a tuple consisting of the `l` and `r` in `Both(l, r)`, if present.
+    /// Otherwise, returns the wrapped value for the present element, and computes the
+    /// missing value with the supplied closure. The first argument (`l`) is used for a
+    /// missing `Left` value. The second argument (`r`) is used for a missing `Right` value.
+    ///
+    /// # Examples
+    ///
+    /// ```
+    /// # use itertools::EitherOrBoth;
+    /// let k = 10;
+    /// assert_eq!(EitherOrBoth::Both("tree", 1).or_else(|| "stone", || 2 * k), ("tree", 1));
+    /// assert_eq!(EitherOrBoth::Left("tree").or_else(|| "stone", || 2 * k), ("tree", 20));
+    /// assert_eq!(EitherOrBoth::Right(1).or_else(|| "stone", || 2 * k), ("stone", 1));
+    /// ```
+    pub fn or_else<L: FnOnce() -> A, R: FnOnce() -> B>(self, l: L, r: R) -> (A, B) {
+        match self {
+            Left(inner_l) => (inner_l, r()),
+            Right(inner_r) => (l(), inner_r),
+            Both(inner_l, inner_r) => (inner_l, inner_r),
+        }
+    }
 }
 
 impl<T> EitherOrBoth<T, T> {