In this work, a copolymer of [(3-methacryloylamino)propyl]trimethylammonium chloride (TMAPMACh) and itaconic acid (IA) with different molar composition was synthesized by the method of free radical copolymerization in an aqueous medium in the presence of an initiator (ammonium persulfate, (NH4)2S2O8). The functional and molar composition of the synthesized copolymers was determined by the methods of elemental analysis, conductometric titration, Fourier transform infrared spectroscopy (FTIR) and nuclear magnetic resonance spectroscopy (NMR). Coefficients of monomer reactivity were determined using Mayo-Lewis (rTMAPMACh =0.50±0.02 and rIA=1.50±0.02) and Fineman-Ross (rTMAPMACh =0.44±0.02 and rIA=1.51±0.02) methods. It is established that in the radical copolymerization reaction, monomer IA is more reactive than monomer TMAPMACh, and copolymers with a more statistically uniform distribution of monomer units along the macromolecule chain are formed. The influence of the concentration of monomers [M] and initiator [I] on the rate of copolymerization reaction (Rc) at 343 K and equimolar ratios of monomers in the initial mixture was investigated. The kinetic equation of copolymerization reaction in a mixture of TMAPMACh with IA was obtained: Rะก = k´[M]1.66´[I]0.35. The average rate constant of the copolymerization reaction for this temperature was k = 0,049xL0.92xmol-0.92xs-1.The results of the copolymerization reaction kinetics make it possible to regulate the process of copolymer formation and thereby obtain a polymer surfactant with the required physicochemical properties. The TMAPMACh-IA copolymer has a biocidal effect against sulfate-reducing bacteria (SRB), and therefore can be used to suppress the growth of this bacteria.