Kudos to Assembly Speaker Carl Heastie, state Senate Majority Leader John Flanagan and the rest of the Legislature for doing the sensible thing and naming Barbara Underwood as New York’s 66th attorney general.

She’s been acting AG since Eric Schneiderman quit in disgrace May 8. Now she’ll fill out the remaining seven months-plus of his term, making way for a duly elected successor come Jan. 1, after voters make their choices in the Sept. 13 primaries and Nov. 6 general election.

We’re sure it helped that other editorial boards followed our lead in calling for legislators to tap Underwood and quit the political games — that is, to avoid picking an insider: someone who’d spend the rest of the year campaigning for the job, rather than doing it.

Tuesday’s near-unanimous vote in a joint Senate-Assembly session also made history by giving the Empire State its first woman AG — and the most qualified attorney general in memory, to boot.

Sometimes the system works.