In this paper,a new evolving model with tunable attractiveness is presented.Based on the Barabasi-Albert (BA) model,we introduce the attractiveness of node which can change with node degree.Using the mean-field theory,we obtain the analytical expression of power-law degree distribution with the exponent γ∈ (3,∞).The new model is more homogeneous and has a lower clustering coefficient and bigger average path length than the BA model.