The purpose of the present study is to synthesise a self assembled nanocomposite by incorporating GO nanosheets into the polymer network of carboxy methyl cellulose and chitosan without using any initiator and cross-linker system. By incorporation of GO nanosheets, a great enhancement in various properties likes surface roughness, percentage swelling (from 2347% to 4633.8%) and adsorbent properties. The nanocomposite samples were investigated for removal of various kinds of dyes from waste water sources and were found highly selective for different cationic dyes. The adsorbent showed 97.9% removal of BG in 7 h whereas 100% removal of MB in just 1.5 h. The adsorption kinetics statistics fitted well in pseudo-second order rate equation. The correlation values and favourable R-L of adsorption data suggested better fit for Langmuir adsorption for both the dyes.