A focus of this article is the study of synchronization between nonlinear chaotic systems with fractional order. Here synchronization is achieved by employing optimal control based on active control. As a result of the application of the proposed technique, the synchronization for the pair of chaotic systems amongst the chaos of Lorenz’s system with fractional order and Rössler system with fractional order is successfully investigated. The graphic representation of numerical simulation results shows that controller laws can effectively and reliably synchronize fractional-order chaotic systems.