Aiming at the effects of space objects visibility constraints including the Earth masking, the Earth shadow, the sunlight, the Moon light and the relative angle velocity between space object and platform, the sun-synchronous twilight circularity orbit was selected and the improved multi-mutation adaptive genetic algorithm was adopt to solve the single platform orbit inclination angle optimization based on Two-line Elements (TLE) of catalog objects. Simulation results show that the improved multi-mutation adaptive genetic algorithm can effectively solve the optimum individual while the multi-mutation adaptive genetic algorithm may not. In addition, it is found that the calculation capacity can be improved with a magnitude in equivalent performance using about 10% random selected objects.