In　this　article,　the　admissibility　analysis　of　the　value-iteration-based　control　policy　is　investigated　for　affine　nonlinear　dynamics.　First,　a　series　of　admissible　control　criteria　are　discussed　for　nonlinear　and　linear　systems.　With　the　help　of　these　criteria,　it　is　more　convenient　to　determine　whether　an　iterative　control　policy　is　admissible　or　not　compared　with　the　previous　work.　Second,　once　the　iterative　control　policy　is　established　to　be　admissible　by　the　criteria,　the　stability　of　the　closed-loop　systems　using　the　control　law　can　be　guaranteed.　In　addition,　under　certain　conditions,　the　admissibility　and　asymptotic　stability　similar　to　policy　iteration　can　be　obtained.　Finally,　two　numerical　examples　with　the　physical　background　are　afforded　to　validate　the　effectiveness　of　presented　theoretical　results.