Quantitative susceptibility mapping (QSM) is a meaningful MRI technique owing to its unique relation to actual physical tissue magnetic properties. The reconstruction of QSM is usually decomposed into three sub-problems which are solved independently. Here, we propose a fast reconstruction method named as fast TFI based on total field inversion. It accelerates the total field inversion by using specially selected preconditioner and the advanced solution of weighted L0 regularization. Results from gadolinium phantom and in vivo data verified that the new method has good performance.