This paper presents a computer-oriented technique to generate the necessary control inputs to guide an aircraft in a given time from a given initial state (position, velocity and heading) to a prescribed final state subject to the constraints on airspeed, acceleration, and pitch and bank angles of the aircraft. A discrete-time mathematical model requiring five state variables and three control variables is obtained, assuming steady wind and zero sideslip. The guidance problem is posed as a discrete non-linear optimal control problem with a cost functional of Bolza form. A solution technique for the control problem is investigated and numerical examples are presented. It is believed that this approach should prove to be useful in automated air traffic control schemes near large terminal areas