The fabrication of novel and intelligent delivery systems that can effectively deliver therapeutics to the targeted site and release payload in enhanced/controlled manner is highly desired to overcome the multiple challenges in chemotherapy. The present article demonstrates the potential application of dual stimuli responsive nanogels as tumor microenvironment targeted drug delivery carrier. Disulfide cross-linked pH and redox responsive PEG-PDMAEMA nanogels were synthesized by atom transfer radical polymerization (ATRP). The nanogels were characterized by nuclear magnetic resonance (NMR) spectroscopy, Fourier transform infrared spectroscopy (FTIR), and X-ray diffraction (XRD). The PEG-PDMAEMA nanogels exhibited dual stimuli-responsive release of the encapsulated model anticancer drug (doxorubicin, DOX) due to the acidic pH-response of dimethyl amine group in PDMAEMA and reductive cleavage of the disulfide linkages. A relatively higher release of DOX was observed from the nanogels at pH 5.0 than at pH 7.4. DOX release was further accelerated in tumor simulated environment of pH 5.0 and 10 mM glutathione (GSH). Confocal microscopy images revealed that DOX-loaded PEG-PDMAEMA nanogels can rapidly internalize and effectively deliver the drug into the cells. The nanogels exhibited higher cytotoxicity in GSH-OEt pretreated HeLa cells than untreated cells. The dual stimuli responsive nanogels synthesized in this study exhibited many favorable traits, such as pH and redox dependent controlled release of drug, biodegradability, biocompatibility, and enhanced cytotoxicity, which endow them as a promising candidate for anticancer drug delivery.