A new growing network model, which consists of coupled oscillators, is proposed. The network is growing up depending on two parameters, namely the coupling strength and network degree of oscillator. The criteria represented by H. Hong and M. Y. Choi is introduced into the model to make the network grow. The network feature and its growing dynamics are examined from a viewpoint of two parameters ... [Show full abstract] through numerical experiments. Obtained results show that the proposed model realizes some networks observed in a real world.