By the Runge-Kutta algorithm, the density matrix equation, which describes the interaction between laser and quantum wells, is numerically solved and the coherent control of population transfer in asymmetric semiconductor double quantum wells is studied. It is shown that the population transfer between two lower states can be controlled by adjusting the laser intensity and time delay among laser pulses. The relative phase among laser fields can be used to exactly control the population transfer probability. These results have potential application value in the fields of coherent superposition state preparation, quantum entanglement, and quantum information processing, and so on.