The invention is directed to multi-functional N-maleimidyl polymer derivatives comprising a water soluble and non-peptidic polymer backbone having a terminal carbon, such as a poly(alkylene glycol), the terminal carbon of the polymer backbone being directly bonded to the nitrogen atom of a N-maleimidyl moiety without a linking group therebetween. The invention also provides two methods of preparing such linkerless N-maleimidyl polymer derivatives.