Highly functional Polyisocyanata

The invention relates to methods for preparing high-functionality polyisocyanates, which comprises DOLLAR A (i) preparing an addition product (A) containing an isocyanate reactive group and at least two isocyanate groups, by reacting a DOLLAR A (a) di- or polyisocyanate I with DOLLAR a (b1) compounds having at least three isocyanate-reactive groups or DOLLAR a (b2) compounds containing two isocyanate-reactive groups or mixtures of (b1) and (b2), DOLLAR a wherein at least one of the components (a) or (b) has functional groups with the functional groups of the other components of different reactivity and the reaction ratio is selected so that on average the adduct (a) contains a reactive isocyanate group, DOLLAR a (ii) optionally, intermolecular addition reaction of the addition product (a) a polyaddition product (P), which on average one isocyanate-reactive group and more than e.g. wei contains isocyanate groups and DOLLAR A (iii) reacting the addition product (A) and / or the polyaddition product (P) with a diisocyanate or polyisocyanate II.