This paper presents a procedure for determining optimum take-off and climb out trajectory and control law for jet transport that minimize the noise produced during overflight of communities. The procedure is able to take account of operational constraints of aircraft, boundary lines of flight restrictions, constraints for air traffic control and the location of noise sensitive areas surrounding an airport. Based on the interpretation of the subject as an optimum control problem with inequality constraints of control and/or state variables, the steepest descent method is utilized to calculate trajectory and control law that minimize the chosen criterion for noisiness. The criterion is a sum tolal of weighted noisiness, implying sensitive area to noise or insensitive, of plural noise sensitive points which are located close to an airport. The method is applied to the calculation of optimum trajectories for a typical, currently in-service jet transport. Aircraft model including lateral maneuvers is approximated by nonlinear point mass dynamics. Comparison with an ordinary cutback flight procedure and the case of the second criterion which includes an excess attenuation of noise are also given. As a result of the calculation, it is concluded that optimum trajectories and control law are so strongly affected by the relative distance from the airport to weighted noise sensitive points that flight procedure for noise abatement should be established individually for each airport.