The electromagnetic detection satellite(EDS) is a type of earth observation satellites(EOSs). The Information collected by EDSs plays an important role in some fields, such as industry,science and military. The scheduling of EDSs is a complex combinatorial optimization problem. Current research mainly focuses on the scheduling of imaging satellites and SAR satellites, but little work has been done on the scheduling of EDSs for its specific characteristics. A multi-satellite scheduling model is established,in which the specific constrains of EDSs are considered, then a scheduling algorithm based on the genetic algorithm(GA) is proposed. To deal with the specific constrains of EDSs, a penalty function method is introduced. However, it is hard to determine the appropriate penalty coefficient in the penalty function. Therefore,an adaptive adjustment mechanism of the penalty coefficient is designed to solve the problem, as well as improve the scheduling results. Experimental results are used to demonstrate the correctness and practicability of the proposed scheduling algorithm. The Information collected by EDSs plays an important role in some fields, such as industry, science and military. The Scheduling of EDSs is a complex combinatorial optimization problem. Current research mainly focuses on the scheduling of imaging satellites and SAR satellites, but little work has been done on the scheduling of EDSs for its specific characteristics. A multi-satellite scheduling model is established, in which the specific constraints of EDSs are considered, then a deal algorithm based on the genetic algorithm (GA) is proposed. To deal with the specific constraints of EDSs, a penalty function method is introduced. Therefore, an adaptive adjustment mechanism of the penalty coefficient is designed to solve the problem, as well as improve the scheduling results d to demonstrate the correctness and practicability of the proposed scheduling algorithm.