In order to accelerate the convergence speed and acquire stable performance, introduce a kernel-based LMF (KLMF) multi-user detector. Projects the received signal of DS-CDMA system to high-dimensional feature space (kernel space) by a Gaussian kernel function and then uses linear detection. Then provide the simulation comparisons in Gaussian synchronization channel. Simulation results show that KLMF can avoid the complex calculation in high-dimensional space, through choosing a suitable kernel parameter, KLMF detection has better convergent performance than LMF detection.