Inthisnote,wegiveanecessaryandsufficientconditionforviabilitypropertyofdiffusionprocesseswithjumpsonclosedsubmanifoldsofR~m.OurresultisthesystemisviableinaclosedsubmanifoldKiffthecoefficientsaretangenttoKalongKiftheequationisinthesenseofstratonovichintegralandthesolutionjumpsfromKtoK.