The aim of this paper is determination of the shear strength of fiber reinforced polymer reinforced concrete flexural members without stirrups. For this purpose, neural network approach was used. The weights and biases of the considered network determined based on best values which was optimized from particle swarm optimization algorithm (PSO). For training the model, a collection of 108 data set which were published in literatures was applied. Six inputs including compressive strength of concrete, flexural FRP reinforcement ratio, modulus of elasticity for FRP, shear span-to-depth ratio, member web width and member effective depth used for create the model while the shear strength considered as the output. The best structure for the network was obtained by a network with one hidden layer and ten nodes. The results indicated that artificial neural networks based on particle swarm optimization algorithm can be able to predict the strength of the considered RC elements.