In this paper, a new multi-output neural model with tunable activation function (TAF) and its general form are presented. It combines both traditional neural model and TAF neural model. Recursive least squares algorithm is used to train a multilayer feedforward neural network with the new multi-output neural model with tunable activation function (MO-TAF). Simulation results show that the MO-TAF-enabled multi-layer feedforward neural network has better capability and performance than the traditional multilayer feedforward neural network and the feedforward neural network with tunable activation functions. In fact, it significantly simplifies the neural network architecture, improves its accuracy and speeds up the convergence rate.