A cooling device for a vehicle battery includes a cooling plate (22) comprising a first plate part (24) which faces towards the battery (10) and has a first wall thickness (d1), a second plate part (30) which has a second wall thickness (d2), and a multiplicity of depressions (32) formed in the second plate part (30). The cooling plate (22) includes a multiplicity of refrigerant ducts (34) with a first duct cross section, the refrigerant ducts being formed between the first and second plate parts (24, 30) in the depressions (32) of the second plate part (30). The cooling plate (22) also includes a distributor portion (42) and a collector portion which each have at least one connection (46) for a refrigerant feed line (56) and a refrigerant return line. The wall thickness (D) of the cooling plate (22) in the distributor portion (42) and/or collector portion (44) is greater than the wall thickness (d2) of the second plate part (30).