A reciprocating/rotary piston engine includes a housing containing a pivotable rotor as well as a series of openings in which pistons move up and down. The rotor is made up of a rotary piston presenting a series of active surfaces between its vertices (two, four, six . . . n active surfaces) corresponding to the number of rotary pistons and with corresponding active surfaces of the reciprocating pistons with alternately linkable chambers with a fuel supply, a carburation and an exhaust gas outlet.