The paper describes the synthesis of three new copolymers based on styrene and α-methylstyrene derivatives by radical emulsion copolymerization in an aqueous medium in the presence of an ammonium persulfate initiator and potassium stearate emulsifier. In early study, it was found that copolymers based on methoxy derivatives of styrene have the advanced dielectric properties, as compared to polystyrene and a copolymer of styrene and α-methylstyrene. In addition, the latest scientific literature provides data on the biological activity of styrene copolymers. Thus, the synthesis and study of the properties of new copolymers based on styrene and α-methylstyrene creates a prospect for establishing materials with a unique set of properties differing from their previously studied analogues. The structure of synthesized copolymers is confirmed by IR spectroscopy. Along with this, the paper provides the curves of thermogravimetric analysis, data on dielectric constant and tangent of a dielectric loss angle. A hemolytic effect of copolymers is determined, which indicates biocompatibility and further research perspectives towards their suitability for medical use. A copolymer of sodium 4-styrenesulfonate and α-methylstyrene (the molar ratio of starting monomers is 7:3) is soluble in an aqueous medium, which makes it of higher priority in terms of further study into biological activity.