The explicit strong stability preserving Runge-Kutta method of four-stages fourth-order, SSPRK (4,4), is introduced in this work. The efficiency of SSPRK (4,4) is compared with that of the well-known optimal strong stability preserving Runge-Kutta of four-stages fifth-order SSPRK (5,4) introduced by Ruuth (2006) without mathematical prove to SSPRK(4,4). Results show that four-stages fourth-order Runge-Kutta, RK(4,4) is very efficient compared to five-stages fourth-order Runge-Kutta, RK(5,4) method. However, RK(4,4) has a lower effective SSP than RK(5,4).