We propose an evolutionary model for weighted network according to characteristics of real-life network, and the weighted model integrates the triad formation and the preferential mechanism. The two mechanisms provide a wide variety of scale-free behaviors depending on the parameter that govern the new nodes and new links growth. The model gives power-law distributions of degree, weight, and strength. In particular, the average strength displays scale-free property , , as confirmed in many real networks. While in BBV weighted model, the scaling exponent . This implies that the strength of nodes grows faster than their degree. This denotes a strong correlation between the weight and the topological properties in the model, which can be considered as a meaningful development of weighted network model.