The invention relates to novel polyallyl amine polymers having a weight average molecular weight of at least 2000 that, based on the number of amino groups of the polyallyl amine, comprises from approximately 1 to 99% of units of formula ##STR1## wherein R is as defined in the claims. The novel polyallyl amine polymers are useful, for example, for the surface-modification of different substrates or may be used for the manufacture of biomedical mouldings.
