A motor rotor holder and a motor are provided according to the present application. The motor rotor holder is rotatably supported in a housing of the motor, and the motor rotor holder includes: a first cooling channel which allows interior spaces at two axial sides of a rotor in the housing to be in communication with each other so as to direct a first cooling medium through the first cooling channel; and a second cooling channel which is in communication with an exterior of the housing so as to direct a second cooling medium through the second cooling channel. The first cooling channel and the second cooling channel are provided to have a common heat conduction portion, and the first cooling medium is allowed to exchange heat with the second cooling medium via the common heat conduction portion.