We have effectively controled spatiotemporal chaos in homogeneous and heterogeneous coupled map lattice systems by the same phase space compression. Numerical simulation results show that there is a definite functional relationship between the control results and control parameters in a certain region of compressed phase space, when we control the spatiotemporal chaos to homogeneous stable state. Using this control equation and selecting different phase-space compression parameters to control spatiotemporal chaos in a coupled map lattice systems, we successfully obtain various desired stable patterns.