Electrolysis, driven by renewables, is ideally a direct and clean route to generate the hydrogen. However, for the efficient H₂ generation designing active, stable and low cost electrocatalyst system to replace expensive Pt is of paramount importance. Here, a hetero-structured system composed of CoS₂ and CoSe nanostructures on carbon matrix (CoS₂/CoSe@C) is proposed as an active electrocatalyst for hydrogen evolution reaction (HER) in acid medium. The composition of sulfur and selenium in the derived CoS₂/CoSe@C electrocatalyst is analytically controlled for the enhanced HER performance. The prepared electrocatalyst offers the low overpotential of 164 mV at the current density of 10 mA cm⁻² with a small Tafel slope of 42 mV dec⁻¹ as a result of proper synergy between the active components CoS₂ and CoSe. Moreover, the interconnected network in the carbon matrix of CoS₂/CoSe@C provides better conductivity ensured by adequate contact area between the electrocatalyst and electrolyte. Besides the convincing electrochemical activity, catalyst demonstrates the good stability for at least 10 h. This work highlights importance of composite materials for HER via synchronizing catalytically active materials (Ni, Co, Mo) and highly conductive supports (CNT, C, rGO).