diff --git a/app/controllers/consensos_controller.rb b/app/controllers/consensos_controller.rb
index e3a64cd..6da8f44 100644
--- a/app/controllers/consensos_controller.rb
+++ b/app/controllers/consensos_controller.rb
@@ -50,4 +50,27 @@ class ConsensosController < ApplicationController
              status: :unprocessable_entity
     end
   end
+
+  # DELETE /consensos/:id
+  #
+  # Eliminar un consenso, solo si no tiene posiciones!
+  #
+  # @param :id [Integer] El ID del consenso a eliminar
+  # @return [Hash] { id: @int, created_at: @date,
+  #                  titulo: @string, texto: @string,
+  #                  posiciones: [] }
+  def destroy
+    begin
+      @consenso = Consenso.find(params[:id])
+    rescue ActiveRecord::RecordNotFound
+      render json: {}, status: :not_found
+      return
+    end
+
+    if @consenso.posiciones.empty? && @consenso.destroy
+      render status: :ok
+    else
+      render json: {}, status: :unprocessable_entity
+    end
+  end
 end
diff --git a/app/views/consensos/destroy.json.jbuilder b/app/views/consensos/destroy.json.jbuilder
new file mode 100644
index 0000000..f1e4c6b
--- /dev/null
+++ b/app/views/consensos/destroy.json.jbuilder
@@ -0,0 +1,3 @@
+# frozen_string_literal: true
+
+json.partial! @consenso, as: :consenso
diff --git a/config/routes.rb b/config/routes.rb
index 1e4c5dd..eb184a6 100644
--- a/config/routes.rb
+++ b/config/routes.rb
@@ -4,7 +4,7 @@ Rails.application.routes.draw do
   # No queremos un índice de piratas
   resources :piratas, only: %i[create]
   # Podemos crear consensos pero no modificarlos
-  resources :consensos, only: %i[index show create] do
+  resources :consensos, only: %i[index show create destroy] do
     # Y solo le podemos agregar posiciones
     resources :posiciones, only: %i[create]
   end
diff --git a/test/controllers/consensos_controller_test.rb b/test/controllers/consensos_controller_test.rb
index 88d9cf1..3abc531 100644
--- a/test/controllers/consensos_controller_test.rb
+++ b/test/controllers/consensos_controller_test.rb
@@ -43,4 +43,24 @@ class ConsensosControllerTest < ActionDispatch::IntegrationTest
     assert_equal 'hola', consenso.titulo
     assert_equal 'chau', consenso.texto
   end
+
+  test 'se pueden borrar si están vacíos' do
+    consenso = create :consenso
+
+    delete consenso_url(consenso), as: :json, headers: @auth
+
+    assert_equal 200, @response.status
+
+    body = JSON.parse(@response.body)
+    assert_raise(ActiveRecord::RecordNotFound) { Consenso.find(body['id']) }
+  end
+
+  test 'no se pueden borrar si no están vacíos' do
+    consenso = create :consenso
+    create :posicion, consenso: consenso
+
+    delete consenso_url(consenso), as: :json, headers: @auth
+
+    assert_equal 422, @response.status
+  end
 end