Geocomposite mechanically bonded with woven type geotextile and nonwoven geotextile was used to examine to the long-term creep deformation behaviors by the SIM(Stepped Isothermal Method). The temperature steps were $26^{circ}C$, $40^{circ}C$, $54^{circ}C$, $68^{circ}C$, $82^{circ}C$ and loading levels were 40%, 50%, 60% of designed strength for stepped isothermal method. Results of creep tests are showing that their strain were lower than 10% during 10,000 hours(GRI GS 10). Also, the effect of weft injection density to the creep deformation behaviors were examined. The weft densities of 0%, 50%, 100% of the original weft density showed the creep strain within 10% and the creep strain was increased with the decrease of weft injection density.