In this paper, the problem of planning smooth trajectories of mechatronic objects on the basis of Bezier splines of the third order with a minimal curvature is solved. Using such trajectories provides the maximal speed of movement for mechatronic objects. The neuron net, which approximates the function of the optimal selection of spline parameters is proposed to solve this problem. The advantage of the proposed approach is its lack of computational complexity, which allows its use in most on-board computers in real time.