The FBI and NYPD have busted a heroin-addict bank robber who became one of the most-wanted men in New York for a spree that began around Christmas, sources said.

Marat Mikhaylich, 35 — dubbed the “Holiday Bandit” — was captured yesterday after license-plate readers and some old-fashioned detective work led cops to his allegedly stolen getaway car, the sources said. Mikhaylich is believed to be responsible for seven heists in Manhattan, Brooklyn and Staten Island, as well as two in New Jersey, authorities said.

In most cases, the Ukrainian-born giant lumbered up to the teller, pulled a pistol and demanded cash, said law-enforcement sources.

Monday, he robbed his last bank –in Edison, NJ — and sped away in a stolen Toyota, authorities said.

He was nailed in Queens after a camera picked up the plate in Woodside.