In　this　paper,　we　propose　a　robust　and　high-fidelity　scheme　to　construct　a　nondestructive　Rydberg　parity　meter　by　optimized　inverse　engineering,　after　which　we　can　know　the　parity　information　of　the　bipartite　state　without　destroying　it,　implying　that　the　output　bipartite　state　can　be　further　used　in　the　rest　quantum　information　processing　tasks.　Specifically　speaking,　we　build　a　model　with　two　systematic　Rydberg　atoms　and　one　auxiliary　Rydberg　atom　and　control　them　by　utilizing　optimized　inverse　engineering　against　systematic　error.　Also,　since　the　accumulated　time　for　the　Rydberg　atoms　simultaneously　being　in　Rydberg　states　is　minimized,　the　mechanical　effect　and　the　further　possible　ionization　are　almost　avoided.　Moreover,　numerical　simulation　shows　that　the　present　scheme　is　robust　against　the　systematic　error,　the　dephasing,　and　the　thermal　noise,　demonstrating　feasibility　in　the　experiment.