Aim\ The spatiotemporal periodic pattern of coupled map lattice are contracted. Methods\ Without solving the modeling equations

a series of spatiotemporal periodic orbits in coupled map lattices are deduced by known orbits of one dimensional coupled map lattices with lower spatial period. The stability of the deduced orbits is analyzed. Results\ The \%L×L\% Jacobian matrices can be simplified as diagonal matrices of a few 2×2 matrices. Conclusion The stability of the constructed orbits can never be better than that of the original ones.