Preheat the oven to 350 degrees F (175 degrees C). Grease and flour a fluted tube pan (such as Bundt®).

Mix yellow cake mix, pudding mix, eggs, amaretto, oil, and milk together in a bowl. Beat using an electric mixer on medium speed for 2 to 3 minutes. Fold in cranberries, coconut, and walnuts. Pour into the prepared pan.

Bake in the preheated oven until a toothpick inserted into the center comes out clean, about 55 minutes.

Meanwhile, combine sugar, amaretto, and butter for glaze in a small saucepan. Bring to a boil; continue to boil until sugar is dissolved, 2 to 3 minutes.

Remove cake from the oven and glaze immediately.