Abstract A simple model with a local particle drift is proposed to extend the diffusion-limited aggregation model. Here the attractive or the repulsive interaction between a flight particle and the aggregation cluster is taken into account. In our model the drift force depends on the local aggregation structure. The effects of the strength and the range of the particle-particle interaction on the fractal structure of the aggregations are elucidated from the scaling property of an integrated pair correlation function. From the present computer simulation results, it is found that while the attractive interaction tends to decrease the fractal dimension, the repulsive one increases it.