diff --git a/doc/changelog.dox b/doc/changelog.dox
index 96c11b0d4..7a6652d70 100644
--- a/doc/changelog.dox
+++ b/doc/changelog.dox
@@ -1194,6 +1194,12 @@ See also:
     work on Firefox again. The reported renderer string got changed, possibly
     in relation to @webgl_extension{WEBGL,debug_renderer_info} being
     deprecated, which broke Firefox detection in the workaround enabling code.
+-   @ref Platform::EmscriptenApplication was emitting only a text input event
+    if text input was active, not a key press event as well, making it
+    impossible to handle keyboard shortcuts such as copy / paste when editing
+    text. Now it emits both, consistently with @ref Platform::Sdl2Application
+    and @ref Platform::GlfwApplication, and in the same order as in those. See
+    [mosra/magnum#637](https://github.com/mosra/magnum/issues/637).
 
 @subsection changelog-latest-deprecated Deprecated APIs
 
diff --git a/src/Magnum/Platform/EmscriptenApplication.cpp b/src/Magnum/Platform/EmscriptenApplication.cpp
index 8ece3d0aa..95e6c2a21 100644
--- a/src/Magnum/Platform/EmscriptenApplication.cpp
+++ b/src/Magnum/Platform/EmscriptenApplication.cpp
@@ -583,16 +583,23 @@ void EmscriptenApplication::setupCallbacks(bool resizable) {
         ([](int, const EmscriptenKeyboardEvent* event, void* userData) -> Int {
             EmscriptenApplication& app = *static_cast<EmscriptenApplication*>(userData);
             const Containers::StringView key = event->key;
+            KeyEvent e{*event};
+            app.keyPressEvent(e);
+            bool accepted = e.isAccepted();
+
             /* If the key name is a single letter or a start of an UTF-8
-               sequence, pass it to the text input event as well */
+               sequence, pass it to the text input event as well. Both SDL and
+               GLFW emit key press first and text input after, do it in the
+               same order here. */
             if(app.isTextInputActive() && key.size() == 1 || (key.size() >= 1 && UnsignedByte(key[0]) > 127)) {
-                TextInputEvent e{*event, key};
-                app.textInputEvent(e);
-                return e.isAccepted();
+                TextInputEvent te{*event, key};
+                app.textInputEvent(te);
+                accepted = accepted || te.isAccepted();
             }
-            KeyEvent e{*event};
-            app.keyPressEvent(e);
-            return e.isAccepted();
+
+            /* Accepting either the key event, the text input event, or both
+               should stop it from propagating further */
+            return accepted;
         }));
 
     emscripten_set_keyup_callback(keyboardListeningElement, this, false,