A scroll-type fluid machine is provided with a body unit having a fixed scroll and a turning scroll. Each of the fixed and turning scrolls include a lap formed on an end plate. The scroll-type fluid machine further includes a motor unit having a drive shaft for driving the body unit, rotors, and a stator. Cooling fins are formed on the opposite surfaces of the fixed scroll and the turning scroll from the surfaces of the respective end plates where the laps are formed.