A transfer press machine which can be easily handled for precise and prompt interference checks. The transfer press machine is provided with an interference check device including data component storage means for storing press side data components and transfer side data components, as turned three-dimensional data, in such a state that they are expanded and arranged in a virtual space with the same relative position relation as that of the case in a real space, virtual press action control means for causing the press side data components to perform the virtual press actions in the virtual space in accordance with press motions, virtual transfer action control means for causing the transfer side data components to perform the virtual transfer actions in the virtual space in accordance with transfer motions, virtual synchronous timing information generating/outputting means for generating/outputting virtual synchronous timing information, and virtual interference occurrence discriminating means for discriminating whether or not an interference occurs between the press side data components and the transfer side data components in the procedure of the virtual transfer press cycle.