A rotary directional pressure engine having a case within which a plurality of rotors rotate in parallel. The rotors include asymmetrical cavities on the circumferential faces thereof, which cavities function to move air and/or other gases into a combustion chamber area during an intake phase, to cooperatively form a combustion chamber during an ignition and combustion phase, and to move exhaust gases to the area of one or more exhaust ports for removal from the engine during an exhaust phase. Continued rotation of the rotors is accomplished by harnessing and properly directing the forces of combustion against the asymmetrical cavities of the rotors.