Abstract: In this talk, we will report some works on multi-linear and multi-parameter Coifman-Meyer type Fourier multipliers. These include the $L^p$ estimates for the multi-linear and multi-parameter pseudo-differential operators, and Hormander type theorems on $L^p$ boundedness with limited smoothness on the multipliers. These are generalizations and improvements of the works by C. Muscalu, J. Pipher, T. Tao and C. Thiele (Acta Math. (2004) and Revista Mate. Ibero. (2006). The talk is on joint works with Wei Dai and Jiao Chen.