Introduction: During aging, significant declines in muscle strength decrease people's functional capacity. In this context, Concurrent Training (TC in Portuguese abbreviation) can lead to improvements in muscle strength and cardiorespiratory capacity. However, there are few studies on the influence of the performance order of this training on the variables of static and dynamic balance. Objective: To evaluate the effect of the performance order of TC, Aerobic-Strength and Strength-Aerobic (respectively AF and FA in Portuguese abbreviation), on the static and dynamic balance, as well as muscle strength of elderly people. Material and Methods: 38 elderly men and women participated in the study, who were divided into two groups: AF (n=19) and AF (n=19). The training was carried out during 12 weeks, in which the aerobic training consisted of walking with intensity prescribed by the Borg Scale of Perceived Exertion (PE) (6-20) and the strength training consisted of six exercises, with intensity controlled by zones of Maximum Repetitions (RM, in Portuguese abbreviation). Static (area and displacement of plantar pressure center in bipedal support with eyes closed and open) and dynamic (Timed Up and Go and Tandem March) balance were evaluated, as well as maximum dynamic force of knee extension and bench press. For the data analysis, the Generalized Estimation Equations were used with Bonferroni's complementary test (α=0.05).Results: For the static and dynamic balance, there was no effect of the 12 weeks of combined training, regardless of the order of execution. This result demonstrates that both groups presented a maintenance of equilibrium variables during the intervention period. In strength, there was an improvement in the lower limbs (FA: 16%; FA: 11%; p<0.001) and upper (FA: 22.0%; FA: 8, 7%; p<0.001), with no difference between groups. Conclusion: There is no difference between the performance order of TC in the variables of static and dynamic balance and strength of upper and lower limbs. However, after training, significant advances were considered in the variables of strength and maintenance of static and dynamic balance.