The invention relates to a pod propulsion device including a motor casing (3) and a strut (2), which strut (2) is connected at a lower part thereof to the motor casing (3) and is arranged to be connected at an upper part thereof to a hull (1) of a ship. The motor casing (3) includes a housing (6) enclosing an electric motor (5) with a stator and a rotor, which housing (6) has an upper portion. According to the invention a stationary heat conducting means (7) is arranged in contact with said upper portion, which heat conducting means (7) is arranged to conductively connect the upper portion to at least one outer wall (21) of the strut (2). The invention also relates to a ship provided with such pod propulsion device and to a method for cooling a pod propulsion device.