The article presents a new method for the synthesis of antennas – constructural synthesis, considered with the use of an example of broadband planar radiator of a fased array of antennas. Based on this method the search for the optimal form of broadband radiator was performed through the application of the quasi-Newton method of optimisation. The optimality criterion of the width of the working frequency, was determined by the admissible aligment of antenna with the feeding feeder. By analogy with the example given above as an optimality criterion, any electrical characteristics of the synthesized antennas, such as antenna gain, characteristícs of antenna pattern etc. can be used.