A rotary fluid machine that reduces fluid leakage from a gear pump or gear motor and achieves improvement in responsiveness is provided. The present invention is configured such that force of pressing a side plate toward gears by a seal member provided between the side plate and a case and performing pressure compartment is partly strong, not uniform along the entire length of the seal member. Specifically, for example, a gear pump comprises an assembly including a pair of gears, a side plate sealing a side surface of the gears, and a seal block sealing tooth tips of the gears, a case housing the pump assembly, and a seal member being arranged between the side plate or the seal block and the case and along a notch portion formed in the side plate or the seal block. The seal member is wider at a portion in a position passing through a place with large pressure fluctuations than at other portions.