A neural network (NN) for solving the quadratic programming problems (QPPs) in real time by means of steepest descent method (SDM) for problems with inequality constraint is proposed. It is shown that the proposed NN is stable in the sense of Lyapunov and can converge to an exact optimal solution of the original problem. Validity and transient behavior of the proposed NN are illustrated by some simulation results using MATLAB software. © IJSTR 2020.