diff --git a/lib/rspec/rails/matchers/action_cable.rb b/lib/rspec/rails/matchers/action_cable.rb
index 12b811d7b..d33de16bf 100644
--- a/lib/rspec/rails/matchers/action_cable.rb
+++ b/lib/rspec/rails/matchers/action_cable.rb
@@ -3,6 +3,8 @@
 module RSpec
   module Rails
     module Matchers
+      extend RSpec::Matchers::DSL
+
       # Namespace for various implementations of ActionCable features
       #
       # @api private
@@ -50,7 +52,10 @@ def have_broadcasted_to(target = nil)
 
         ActionCable::HaveBroadcastedTo.new(target, channel: described_class)
       end
-      alias_method :broadcast_to, :have_broadcasted_to
+
+      alias_matcher :broadcast_to, :have_broadcasted_to do |desc|
+        desc.gsub("have broadcasted", "broadcast")
+      end
 
     private
 
diff --git a/lib/rspec/rails/matchers/action_cable/have_broadcasted_to.rb b/lib/rspec/rails/matchers/action_cable/have_broadcasted_to.rb
index 297d7cfcf..090065c2a 100644
--- a/lib/rspec/rails/matchers/action_cable/have_broadcasted_to.rb
+++ b/lib/rspec/rails/matchers/action_cable/have_broadcasted_to.rb
@@ -51,6 +51,10 @@ def thrice
             exactly(:thrice)
           end
 
+          def description
+            "have broadcasted #{base_description}"
+          end
+
           def failure_message
             "expected to broadcast #{base_message}".tap do |msg|
               if @unmatching_msgs.any?
@@ -140,18 +144,21 @@ def set_expected_number(relativity, count)
               end
           end
 
-          def base_message
+          def base_description
             "#{message_expectation_modifier} #{@expected_number} messages to #{stream}".tap do |msg|
               msg << " with #{data_description(@data)}" unless @data.nil?
-              msg << ", but broadcast #{@matching_msgs_count}"
             end
           end
 
+          def base_message
+            "#{base_description}, but broadcast #{@matching_msgs_count}"
+          end
+
           def data_description(data)
             if data.is_a?(RSpec::Matchers::Composable)
               data.description
             else
-              data
+              data.inspect
             end
           end
 
diff --git a/spec/rspec/rails/matchers/action_cable/have_broadcasted_to_spec.rb b/spec/rspec/rails/matchers/action_cable/have_broadcasted_to_spec.rb
index 815a9225a..7e9470b3f 100644
--- a/spec/rspec/rails/matchers/action_cable/have_broadcasted_to_spec.rb
+++ b/spec/rspec/rails/matchers/action_cable/have_broadcasted_to_spec.rb
@@ -226,5 +226,33 @@ def broadcast(stream, msg)
         end
       end
     end
+
+    it "has an appropriate description" do
+      expect(have_broadcasted_to("my_stream").description).to eq("have broadcasted exactly 1 messages to my_stream")
+    end
+
+    it "has an appropriate description when aliased" do
+      expect(broadcast_to("my_stream").description).to eq("broadcast exactly 1 messages to my_stream")
+    end
+
+    it "has an appropriate description when stream name is passed as an array" do
+      expect(have_broadcasted_to(%w[my_stream stream_2]).from_channel(channel).description).to eq("have broadcasted exactly 1 messages to broadcast:my_stream:stream_2")
+    end
+
+    it "has an appropriate description not mentioning the channel when qualified with `#from_channel`" do
+      expect(have_broadcasted_to("my_stream").from_channel(channel).description).to eq("have broadcasted exactly 1 messages to my_stream")
+    end
+
+    it "has an appropriate description including the expected contents when qualified with `#with`" do
+      expect(have_broadcasted_to("my_stream").from_channel(channel).with("hello world").description).to eq("have broadcasted exactly 1 messages to my_stream with \"hello world\"")
+    end
+    it "has an appropriate description including the matcher's description when qualified with `#with` and a composable matcher" do
+      expect(
+        have_broadcasted_to("my_stream")
+          .from_channel(channel)
+          .with(a_hash_including(a: :b))
+          .description
+      ).to eq("have broadcasted exactly 1 messages to my_stream with a hash including {:a => :b}")
+    end
   end
 end