Ralstonia solanacearum is one of the causal agent of bacterial wilt in Brazil. This is the main bacteriosis in tomato plants, which can cause losses of up to 100% in their production. The use of resistant cultivars is the main form of control. Thus, the study of genetic control of resistance provides essential information for the conduct of breeding programs. The objective of this work was to study the genetic control of tomato plant ‘Yoshimatsu’ resistance to R. solanacearum . The experiments were conducted in greehouse with the Yoshimatsu and IPA-7 parents; F 1 , F 2 , RC 11 , RC 21 generations; and F 2:3 progenies. All plants were inoculated using a R. solanacearum isolate from the collection of the Phitobacteriology Laboratory of the Federal Rural University of Pernambuco. The severity of bacterial wilt were assessed through a descriptive scale of scores at 10 and 20 days after inoculation. The resistance to R. solanacearum in the ‘Yoshimatsu’ cultivar is associated with recessive alleles, in which the genetic control of resistance is determined by two independent genes of greater effect with only additive effects, plus polygenes associated with additive and dominance effects.