The frozen deuterium-tritium (DT) foil compressed by shaped laser pulses is explored, and analytical results show that the foil plasma target with relatively high density and low temperature can be obtained after compression by stepped lasergenerated multi-shock waves. The choice of initial laser intensity influences the plasma density after compression and the number of neutron to be produced. The optimized result is obtained by adjusting the initial laser intensity to keep a high neutron high productivity in the compressed DT target. When the original scaled laser amplitude is 0.5 and the final 32, the foil's density reaches 18416 times critical density, the temperature reaches 16 keV, and 109 /J neutrons are produced after compression, which is four orders of magnitude larger than that from other ways.