A framework is presented for the noise minimization of approach and take-off trajectories. Within this framework, population and terrain models are coupled with a dynamic trajectory optimization algorithm. By using a pseudospectral method to discretize the optimal control problem integrals can be handled very efficiently using matrix multiplication. Thus, a large number of noise stations can be included allowing an accurate calculation of the perceived noise on ground. The dynamic aircraft model included in the optimization framework is based on the BADA and ANP database of EUROCONTROL. Specific path constraints have been introduced to model regulations arising from various ICAO and FAA documents. Optimized trajectories for runway 08L of Munich airport are presented and compared.