In this work, a copolymer of N,N-dimethylacrylamide (DMAA) and [(3-methacryloyl-amino)propyl]trimethylammonium chloride (TMAPMACh) with different molar compositions was synthesized by the free radical copolymerization in an aqueous medium in the presence of ammonium persulfate (NH4)2S2O8) as an initiator. The functional and molar composition of the synthesized copolymers was determined by conductometric titration, Fourier transform infrared (FTIR) and nuclear magnetic resonance (NMR) spectroscopy. Reactivity coefficients of the monomers were determined using Mayo-Lewis (rTMAPMACh=1.25±0.02 and rDMAA=2.00±0.02) and Fineman-Ross (rTMAPMACh =1.16±0.02 and rDMAA=2.25±0.02) methods. The influence of the concentration of monomers [M] and initiator [I] on the rate of copolymerization reaction (RC) at 333 K and equimolar ratios of monomers in the initial mixture was investigated. The kinetic equation of copolymerization reaction of DMAA with TMAPMACh was derived: RС = kx[M]2.70x[I]1.24. The average rate constant of the copolymerization reaction at this temperature was equal to k = 9.72 L2.94 x mol-2.94xs-1. It was also found that the copolymers DMAA-TMAPMACh have a biocidal effect against thionic bacteria Thiobacillus ferrooxidans (TB) at a minimum concentration of 1.0 wt. %. Although they do not exhibit bactericidal effects against SRB bacteria, they do delay their growth at a concentration of 0.2÷1.0 wt. %.