We introduce the sequence of Stancu variant of α-Schurer-Kantorovich operators and systematically investigate some basic estimates. We also obtain the uniform convergence theorem and the order of approximation in terms of suitable modulus of continuity for our newly defined operators. Moreover, we investigate rate of convergence by means of Peetre's K-functional and local direct estimate via Lipschitz-type functions. Finally, A-statistical approximation is presented.