The　linear　shift　feedback　register　(LFSR)　are　widely　used　in　pseudo　random　number　generator　(PRNG).　Through　parallelization,　the　generation　rate　can　achieve　unprecedented　speeds.　Based　on　the　leap-ahead　LFSR　architecture,　this　paper　proposed　a　new　parallel　architecture　which　can　improve　the　randomness　significantly　without　changing　the　output　bit-width.　Compared　with　two　latest　high-quality　PRNGs,　the　proposed　architecture　in　this　paper　has　advantages　in　randomness,　resource　utilization　and　output　bandwidth.　Especially,　the　proposed　architecture　reduces　the　occupancy　of　resources　up　to　62%　and　lower　the　area-time　up　to　53%　compared　to　the　recent　architecture.