diff --git a/src/stream/stream/min_by.rs b/src/stream/stream/min_by.rs
index ab12aa05b..806e75416 100644
--- a/src/stream/stream/min_by.rs
+++ b/src/stream/stream/min_by.rs
@@ -10,25 +10,41 @@ use crate::task::{Context, Poll};
 pin_project! {
     #[doc(hidden)]
     #[allow(missing_debug_implementations)]
-    pub struct MinByFuture<S, F, T> {
+    pub struct MinMaxByFuture<S, F, T> {
         #[pin]
         stream: S,
         compare: F,
-        min: Option<T>,
+        value: Option<T>,
+        direction: Direction,
     }
 }
 
-impl<S, F, T> MinByFuture<S, F, T> {
-    pub(super) fn new(stream: S, compare: F) -> Self {
-        MinByFuture {
+#[derive(PartialEq, Eq)]
+enum Direction {
+    Maximizing,
+    Minimizing,
+}
+
+impl<S, F, T> MinMaxByFuture<S, F, T> {
+    pub(super) fn new_min(stream: S, compare: F) -> Self {
+        MinMaxByFuture::new(stream, compare, Direction::Minimizing)
+    }
+
+    pub(super) fn new_max(stream: S, compare: F) -> Self {
+        MinMaxByFuture::new(stream, compare, Direction::Maximizing)
+    }
+
+    fn new(stream: S, compare: F, direction: Direction) -> Self {
+        MinMaxByFuture {
             stream,
             compare,
-            min: None,
+            value: None,
+            direction,
         }
     }
 }
 
-impl<S, F> Future for MinByFuture<S, F, S::Item>
+impl<S, F> Future for MinMaxByFuture<S, F, S::Item>
 where
     S: Stream + Unpin + Sized,
     S::Item: Copy,
@@ -37,22 +53,26 @@ where
     type Output = Option<S::Item>;
 
     fn poll(self: Pin<&mut Self>, cx: &mut Context<'_>) -> Poll<Self::Output> {
+        use Direction::*;
+        use Ordering::*;
+
         let this = self.project();
         let next = futures_core::ready!(this.stream.poll_next(cx));
 
         match next {
             Some(new) => {
                 cx.waker().wake_by_ref();
-                match this.min.take() {
-                    None => *this.min = Some(new),
-                    Some(old) => match (this.compare)(&new, &old) {
-                        Ordering::Less => *this.min = Some(new),
-                        _ => *this.min = Some(old),
+
+                match this.value.take() {
+                    None => this.value.replace(new),
+                    Some(old) => match ((this.compare)(&new, &old), this.direction) {
+                        (Less, Minimizing) | (Greater, Maximizing) => this.value.replace(new),
+                        _ => this.value.replace(old),
                     },
-                }
+                };
                 Poll::Pending
             }
-            None => Poll::Ready(*this.min),
+            None => Poll::Ready(*this.value),
         }
     }
 }
diff --git a/src/stream/stream/mod.rs b/src/stream/stream/mod.rs
index 501ece1b2..8355b81c2 100644
--- a/src/stream/stream/mod.rs
+++ b/src/stream/stream/mod.rs
@@ -68,7 +68,7 @@ use gt::GtFuture;
 use last::LastFuture;
 use le::LeFuture;
 use lt::LtFuture;
-use min_by::MinByFuture;
+use min_by::MinMaxByFuture;
 use next::NextFuture;
 use nth::NthFuture;
 use partial_cmp::PartialCmpFuture;
@@ -600,6 +600,45 @@ extension_trait! {
             FilterMap::new(self, f)
         }
 
+        #[doc = r#"
+            Returns the element that gives the maximum value with respect to the
+            specified comparison function. If several elements are equally maximum,
+            the first element is returned. If the stream is empty, `None` is returned.
+
+            # Examples
+
+            ```
+            # fn main() { async_std::task::block_on(async {
+            #
+            use std::collections::VecDeque;
+
+            use async_std::prelude::*;
+
+            let s: VecDeque<usize> = vec![1, 2, 3].into_iter().collect();
+
+            let min = s.clone().max_by(|x, y| x.cmp(y)).await;
+            assert_eq!(min, Some(3));
+
+            let min = s.max_by(|x, y| y.cmp(x)).await;
+            assert_eq!(min, Some(1));
+
+            let min = VecDeque::<usize>::new().max_by(|x, y| x.cmp(y)).await;
+            assert_eq!(min, None);
+            #
+            # }) }
+            ```
+        "#]
+        fn max_by<F>(
+            self,
+            compare: F,
+        ) -> impl Future<Output = Option<Self::Item>> [MinMaxByFuture<Self, F, Self::Item>]
+        where
+            Self: Sized,
+            F: FnMut(&Self::Item, &Self::Item) -> Ordering,
+        {
+            MinMaxByFuture::new_max(self, compare)
+        }
+
         #[doc = r#"
             Returns the element that gives the minimum value with respect to the
             specified comparison function. If several elements are equally minimum,
@@ -631,12 +670,12 @@ extension_trait! {
         fn min_by<F>(
             self,
             compare: F,
-        ) -> impl Future<Output = Option<Self::Item>> [MinByFuture<Self, F, Self::Item>]
+        ) -> impl Future<Output = Option<Self::Item>> [MinMaxByFuture<Self, F, Self::Item>]
         where
             Self: Sized,
             F: FnMut(&Self::Item, &Self::Item) -> Ordering,
         {
-            MinByFuture::new(self, compare)
+            MinMaxByFuture::new_min(self, compare)
         }
 
         #[doc = r#"