In order to improve anti-jamming capability of GNSS navigation receiver, a multi-linear constrained adaptive algorithm is researched, which could be used on the GNSS adaptive nulling antenna. Furthermore, a steep drop algorithm is adopted to avoid the autocorrelation matrix inversion, thus, the difficulty of calculation is reduced greatly. Through the simulation and analysis, the results show that the proposed adaptive filtering algorithm can generate deeper "nulling" in the direction of interfering signals and able to provide higher output signal-interference ratio, thus it has better interference rejection capability.