The invention provides a method for preparing a fiber-reinforced part based on cyanate ester or a cyanate ester/epoxy blend, comprising the steps of (i) providing a liquid mixture comprising (a) from 15 to 99.9 wt. % of at least one di- or polyfunctional cyanate ester, (b) from 0 to 84.9 wt. % of at least one di- or polyfunctional epoxy resin, and (c) from 0.1 to 25 wt. % of a metal-free catalyst; (ii) providing a fiber structure (iii) placing said fiber structure in a mold or on a substrate, (iv) impregnating said fiber structore with said liquid mixture, (v) curing said liquid mixture by applying a temperature of 30 to 300° C. Using the method of the invention it is possible to produce in a short cycle time, using composite manufacturing processes such as resin transfer molding and infusion technology, fiber reinforced composite parts based on a cyanate ester or cyanate ester/epoxy resin formulation. The fiber-reinforced parts obtainable by the above method are also an object of the invention.