The pion and kaon electromagnetic form factors FM(Q2) are calculated at the leading order of pQCD using the running coupling constant method. In calculations, the leading and next-to-leading order terms in αS((1-x)(1-y)Q2) expansion in terms of αS(Q2) are taken into account. The resummed expression for FM(Q2) is found. Results of numerical calculations for the pion (asymptotic distribution amplitude) are presented.