The spinner has achieved the feat in his 102nd ODI for England.
Before Rashid, Graeme Swann had the most wickets as a spinner for England as he ended his white-ball career with 104 wickets from 79 matches.
For England, James Anderson has bagged the most number of wickets (269) in ODIs.
Anderson is followed by Darren Gough (234), Stuart Broad (178), Andrew Flintoff (168), and now Rashid.
If England manages to win the ongoing second ODI against Ireland, then the side will gain an unassailable lead in the three-match series.
The Three Lions had won the first match by six wickets after chasing down a below-par total of 173 runs.
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