<p>The present invention provides a stream migration method and apparatus. The method comprises: a local mobility anchor (LMA) obtaining information of states of a terminal in various access networks respectively; the LMA selecting one of the various access networks according to the state information; and the LMA initiating stream migration. The present invention solves the problem of incapability of the LMA in perceiving a connection state of the terminal incurred by that stream migration is always initiated at the terminal side, and therefore the LMA obtains information of states of the terminal in various access networks, thereby ensuring that the LMA is capable of correctly selecting an access network to initiate stream migration.</p>