In this paper，we describe a new fast parallel solution for near banded Toeplitz systems based on fast solution to banded Toeplitz systems and rank-l updatìng strategy，the serial times are 9nh +0(h)，let p be the number of processor，when p≤n, parallel times are [n/p] (15/4 h²log₂ⁿ+O(1),when p=3n, parallel times are 2h²log₂ⁿ+ O(1)，where his bandwidth.