The invention relates to an airbag module for a motor vehicle, comprising a gas sack, that can be inflated in order to protect a person by feeding gas into the gas sack, an openable reservoir for storing a coolant, wherein the reservoir comprises a first and a second portion, the second portion connected to the first portion, at least one outflow opening of the reservoir formed in the second portion, through which the coolant, for cooling the gas fed into the gas sack, can leave the reservoir, and a closure element for closing the outflow opening. According to the invention it is provided that the closure element divides the reservoir into the two portions, and that the coolant is arranged in the first portion, wherein the closure element seals the first portion of the reservoir with respect to the second portion of the reservoir. Further, the invention relates to a method for producing an airbag module.