For hybrid direction of arrival (DOA) and frequency difference of arrival (FDOA) passive localization, a fast and effective algebraic solution is proposed. This method converts the emitter position nonlinear estimation problem into two weighted linear least-squares minimization, which simplifies the emitter localization process. The proposed means does not have the search procedure, so it has less computational load than traditional search method. Furthermore, it is also more convenient, because it does not need the initial value of the emitter as in the Gauss-Newton iterative method. In structure, the observation equations were first established. And then the Cramér-Rao Lower Bound (CRLB) of the emitter's position estimation was presented. Moreover, the procedures and theoretical performance of the algebraic solution were given. Finally, the simulation was conducted. The results show that the location error of the algebraic solution approaches the CRLB at moderate measurement noise level.