A joint adaptive interference management (JAIM) mechanism exploiting multi-dimensional resources was proposed for downlink transmission in hybrid cellular networks consisting of overlapping macrocells and pico- cells by taking practical factors such as path loss，distance between base stations and transmit power difference into account． The scheme manages the interference from macro base station to picocell user equipment． Firstly，the efficiency of interference management was defined，and based on which the criterion for adaptive interference ma- nagement was derived． Then，the design of JAIM was elaborated by taking interference neutralization (IN) and zero-forcing (ZF) reception as an example． The theoretical analysis and simulation results show that by exploiting multi-dimensional resource the proposed mechanism can avoid the dependence of single interference management method on specific resources，and improve the picocell users＇spectral efficiency without influencing the macrocell users＇．