Abstract: ‍ ‍The beampattern of conformal frequency diverse array multiple input and multiple output （FDA-MIMO） system has three-dimensional information of elevation， azimuth and range， further improving the degree of freedom of the system. With the increasing demand for high-resolution target detection performance and high aerodynamic performance， it is meaningful to study the beampattern synthesis method of conformal FDA-MIMO arrays. In this paper， the mathematical derivation process of signal modeling was provided， and the process of joint transmitting and receiving beampattern analysis was derived in detail. For the sake of the high resolution beampattern， a joint transmitting and receiving weight vector optimization algorithm based on parameter iteration was proposed. In the proposed algorithm， a second-order cone programming （SOCP） model was firstly established， and the idea of alternating direction method of multipliers （ADMM） method was used to achieve separation of parameters， and then the original problem is split into two subproblems. Finally， the above-mentioned two subproblems were optimized， respectively. Numerical simulation results show that the proposed algorithm has better performance than the traditional algorithm， meanwhile its convergence is verified. In addition， in order to further analyze the characteristics of the system， the influence of different system parameters， such as the number of transmitting array elements， the number of receiving array elements， the size of frequency increment of FDA and different frequency increment coding methods， on the beampattern based on the proposed algorithm is also discussed in different simulation scenarios.