Methods of calculation of normal forms. Alexander D. Bruno Keldysh Institute for Applied Mathematics Miusskaja sq., 4, Moscow, 125047, Russia e-mail: bruno@applmat.msk.su fax: (+7+095) 972-07-37 I compare 5 different methods of a computation of the normal form: direct, simple iterative, exponential iterative, quadratic and exponential quadratic.