Preheat the oven to 350 degrees F (175 degrees C).
Place the cream cheese and crabmeat into a small microwave-safe bowl. Heat in the microwave for about 1 minute, to soften the cream cheese. Stir in the shredded cheese until everything is well blended.
Cut croissants in two and place a spoonful of the crab mixture
Place rolls on an ungreased baking sheet.
Bake for 10 to 12 minutes in the preheated oven, until golden brown.