This paper presents a twodimensional lowsidelobe transmit beampattern synthesis for uniform linear Frequency Diverse Array (FDA) with convex optimization. As the uniform linear FDA array steering vector has two variables (i.e., azimuth angle and slant range), it is difficult to be solved by the convex optimization. We divide it into two singlevariable steering vectors with the Kronecker product, which depend on the angle and range, respectively. Next, they are formulated into two optimization problems and can be easily solved by the convex optimization. Finally, the two weight vectors are synthesized into a twovariable weighter with the Kronecker product. Simulation results show that the proposed method can achieve lowsidelobe twodimensional transmitted beampattern for FDA radar.