The Global Navigation Satellite System (GNSS) provides global, accurate and real-time positioning information, which has profoundly changed peoples lives.However, the spoofing attack on GNSS seriously endangers the system, so it is urgent to study anti-spoofing technology.In this paper, a spoofing detection algorithm based on the position vector matrix of multiple receivers is proposed by using the Singular Value Decomposition (SVD) method.The position vector of the multiple receivers is employed to construct the spoofing detection matrix.Then, by using the SVD method, the detection matrix is decomposed into a form in which three matrices are multiplied.One of the matrices is a diagonal matrix, in which the values are zero except those on the diagonal.The singular value of the diagonal matrix is used to determine whether there is spoofing attack.The detection matrix constructed here uses the position information in the geocentric body-fixed coordinate system.The experiment results show that: when there is spoofing attack, 80% of the sum of the square of the singular values is concentrated in the first three singular values;when there is no spoofing attack, the singular values distributes evenly.This difference can be employed for accurately detecting whether there is spoofing interference.