Method for supporting mobility of mobile terminal, and mobile terminal thereof

A method for supporting mobility of a mobile terminal and the mobile terminal thereof are provided to maintain current service quality and supply a service without stop even though a user moves to a heterogeneous network. A frame period code, adjacent cell information and cell reselection information are received from a base station of a current cell(310). The terminal uses thresholds to determine whether to measure quality of a heterogeneous network cell(320). The terminal measures the quality of the heterogeneous network cell(330). And the terminal performs cell reselection or transmits a measurement result to the base station through a measurement report message(370,355).