A stator support member of a rotating electrical machine is provided with a cooling channel formed in the stator support member to cool a stator. The stator support member is manufactured to have the cooling channel of a hermetically sealed structure so that a cooling fluid may flow along the cooling channel. In particular, the support member having the cooling channel is divided into a ring-shaped outer part and a ring-shaped inner part (two-piece type) and the separately manufactured ring-shaped outer part and inner part are combined together.