The specific heat C(T) of new iron-based high-Tc superconductor SmO1−xFxFeAs (0≤x≤0.2) was systematically studied. For undoped x=0 sample, a specific heat jump was observed at 130 K. This is attributed to the structural or spin-density-wave (SDW) transition, which also manifests on resistivity as a rapid drop. However, this jump disappears with slight F doping in x = 0.05 sample, although the resistivity drop still exists. The specific heat C/T shows clear anomaly near Tc for x = 0.15 and 0.20 superconducting samples. Such anomaly has been absent in LaO1−xFxFeAs. For the parent compound SmOFeAs, C(T) shows a sharp peak at 4.6 K, and with electron doping in x = 0.15 sample, this peak shifts to 3.7 K. It is interpreted that such a sharp peak results from the antiferromagnetic ordering of Sm3+ ions in this system, which mimics the electron-doped high-Tc cuprate Sm2−xCexCuO4−δ.