The power control of the interaction of dressing fields of sequential doubly dressed four wave mixing(FWM)in Y type four energy level systems is studied in this paper.Firstly,the eigenvalues of the dressed states are solved when two dressing fields are incident simultaneously in the nonlinear optical media based on the theory of the dressed states.And the relation of the position of the dressed states and the power of the dressing fields is researched.Then,the interaction of two dressing fields of FWM is shown by scanning the frequency detuning of the probe field along with changing the power of the dressing field.It is found that three embellishment energy levels are produced in the atomic medium when the detuning of the two embellishment fields are different,and when they are the same,two embellishment energy levels are produced.Moreover,changes in the power of the two embellishment fields cause the position of the embellishment energy levels to be shifted,and the degree of the shift is determined by the detuning of the embellishment fields.