In this paper, we propose a high performance matrix inversion implementation on a reconfigurable application specific processor. Our implementation can accelerate variable order matrix inversion ranging from 4 to 144. We adopt LU decomposition to reduce the computation complexity and a pivoting operation to ensure the stability. In order to get higher performance within the limited resources, parallel computing and time-sharing multiplexing are employed. The chip testing results show that our implementation improve the performance of inversion efficiently. The highest parallel speed-up ratio can achieve 3 times, and the execution time of a 144 x 144 matrix inversion is 4.07 ms.