The invention discloses a TDOA location method based on constraint convex weighting. TDOA location refers to achieve location by intersection of multiple hyperboloids determined by the time differences resulted from a target radiation source signal reaching different observation stations. For a satellite location system, a target locating at the earth surface is important prior information. Meanwhile, TDOA measurement information is used for location, and there are constraint relations among unknown variables. In order to make full use of the above constraint information to improve the location precision, the method firstly establish a quadratic constraint quadratic optimization problem for the target position, then converts the original optimization problem into two single-constraint sub-optimization problems for calculation as the multi-constraint quadratic optimization problem is high in complex, and solves the optimized weighted value of the sub-optimization for weighting to obtain the target position. The invention provides the TDOA location method based on constraint convex weighting to obtain the better location performance with low calculation complexity.