We knew that a quadratic system has most two nests of limit cycles.Thus,the distribution of limit cycles for these systems is simple.However,the distributions of limit cycles for cubic systems are much more complicated.Two different distributions of eleven limit cycles have been found for cubic system ([1,2]).A natural question is:are there more distributions of limit cycles for these systems? The goal of the paper is to study the problem and to give two new distributions of eleven limit cycles.