The Mars is one of the most important parts of the deep space exploration, and it has the similar natural environment with the Earth. Parachute deceleration is the critical step of Mars landing exploration, however atmosphere environment has a big difference between the Mars and the Earth, which makes parachute experiencing supersonic and low dynamic pressure in Mars landing. Therefore, choosing a better technical approach to parachute deceleration can reduce resource consumption and improve landing reliability. For some critical steps of Mars landing, this paper introduces the Mars landing missions of National Aeronautics and Space Administration（NASA）and European Space Agenc（ESA）, and then summarizes the technical features of the parachute design. At last, according to the requirements of the first Mars exploration mission in China, several critical points of the parachute deceleration are analyzed.