Accelerated population growth has increased demand for energy and food, which contributes to air, soil and water pollution. The development of technologies based on the metabolic diversity of microalgae can potentially replace current methods of production and mitigate their impact. The optimization of growth media composition, seeking to obtain high yields in these bioprocesses, is a technique that would aid these technologies. The aim of this work was to optimize the concentrations of the nutrients required in higher concentration by the autotrophic growth in the growing mediums nitrogen [N], phosphorus [P] and potassium [K] for biomass production from C. sorokiniana. The analysis of the results identified with confidence (p ≤ 0.05) that biomass production was influenced by five terms of a quadratic model: N(Q), P(Q), K(Q), - P(L) and N(L).K(L), where Q and L are quadratic and linear terms respectively. The model obtained has statistical validity and the maximum theoretical yield was 5.3 g.L-1 of biomass, at concentrations of 20.5 mM nitrogen, 0.06 mM phosphorus and 4.00 mM potassium. The response surface analysis showed that the chosen levels did not map a region of optimal points. Thus, a new experiment was proposed.