The double-sensitive graft copolymers of sodium salt of carboxymethyl cellulose (Na-CMC) andN,N-dimethylaminoethyl methacrylate (DMAEMA) with different content are successfully synthesized by radical polymerization applying a redox initiator. Aqueous solution of the synthesized copolymers has a lower critical solution temperature (LCST) in the range of 37-44 degrees C, and the sizes of copolymer particles being multichain spherical negative-charged aggregates are in a 118-133 nm range. Na-CMC-g-PDMAEMA copolymer particles are stable in a 0.15 N NaCl aqueous solution and in the physiological pH range, which allows to apply them as vectors for targeted drug delivery. Conjugation between Paclitaxel (Ptx) and Na-CMC-g-PDMAEMA copolymer is due to hydrophobic and electrostatic interaction between functional groups of each component; copolymers are characterized by relatively high values of loading and encapsulation efficiencies of Ptx. In vitro release kinetics was also researched in acidic and neutral media at 38 degrees C. The release process of Ptx from a copolymer conjugate is described by Korsmeyer-Peppas kinetic model and limited by molecular diffusion.