A method of controlling an engine and a transmission of a hybrid vehicle includes steps of: determining whether the vehicle starts, determining an engine RPM and a gear stage of a transmission if the vehicle has started, determining whether the engine RPM has reached an engine speed control point, determining an engine target RPM and an engine target RPM slope of the vehicle when it is determined that the engine RPM has reached the engine speed control point, controlling the engine RPM of the vehicle to follow the engine target RPM and the engine target RPM slope, determining whether the engine RPM has slipped compared to the target engine RPM, and performing PID control to follow the engine target RPM if the engine RPM slips compared to the engine target RPM.