This letter proposes an energy efficient distributed worst case robust power allocation in massive multiple input multiple output (MIMO) system. We assume a bounded channel state information (CSI) error and all channels lie in some bounded uncertainty region. The problem is formulated as max-min one with infinite constraint. At first, we solve the inner problem with triangle and Cauchy-Schwarz inequality, then by fractional programming and successive convex approximation (SCA) technique problem transfers to a convex optimization. Finally closed form transmit power is obtained with distribution way. Simulation results demonstrate proposed algorithm convergence and validate robust power allocation. Also, the appropriate number of transmit antenna to have maximum energy efficiency in simulation result is shown.