A composition of matter comprising an acrylamido-acyl or methacrylamido-acyl oligomer derived from at least one nucleophilic oligomer having at least one amino-, hydroxyl-, or thiol-substituted polyoxyalkylene, polyalkyleneimine, polyester, polyolefin, polyacrylate, or polysiloxane oligomer, said nucleophilic oligomer having a molecular weight in the range of 200 to 20,000 is disclosed. Also disclosed are free radically polymerizable monomer-containing compositions containing said oligomers as well as acrylamido- and methacrylamido-acylated polymers which are thermal or photocured products of said oligomers. In addition, a process is disclosed for providing said acrylamido- and methacrylamido-acylated oligomers which are useful, for example, in coatings, films, printing inks, adhesives, and saturants.