We　propose　a　protocol　to　realize　atomic　nonadiabatic　holonomic　quantum　computation　(NHQC)　with　two　computational　atoms　and　an　auxiliary　atom.　Dynamics　of　the　system　is　analyzed　in　the　regime　of　Rydberg　blockade,　and　robust　laser　pulses　are　designed　via　reverse　engineering,　so　that　quantum　gates　can　be　easily　realized　with　hig　h　fidelities.　In　addition,　we　also　study　the　evolution　suffering　from　dissipation　with　a　master　equation.　The　result　indicates　that　decays　of　atoms　can　be　heralded　by　measuring　the　state　of　the　auxiliary　atom,　and　nearly　perfect　unitary　evolution　can　be　obtained　if　the　auxiliary　atom　remains　in　its　Rydberg　state.　Therefore,　the　protocol　may　be　helpful　to　realize　NHQC　in　a　dissipative　environment.　©　2020　American　Physical　Society.