A Catholic priest swiped collection-plate donations to pay for drug-fueled sex romps with a heavily muscled S&M “master,” a new lawsuit charges.

Parishioners claim the Rev. Peter Miqueli has stolen at least $1 million since 2003 while leading churches on Roosevelt Island and in The Bronx, where he is currently pastor of St. Frances de Chantal in Throggs Neck.

Their suit alleges he used the money to act out unholy fantasies as a sexual “slave,” blowing $1,000 at a time on bondage-and-discipline sessions where a “homosexual sex ‘master’ ” — identified in court papers as Keith Crist — “would force Father Miqueli to drink Keith Crist’s urine.”

Miqueli also spent $60,000 in 2012 alone for “illicit and prescription drugs” he used with Crist, bought a $264,000 home in Brick, NJ, and paid $1,075.50 a month for his master’s East Harlem apartment, court papers say.

The suit, which was filed in Manhattan Supreme Court Thursday, also charges that the Archdiocese of New York and Timothy Cardinal Dolan knew about Miqueli’s “illegal scheme” and did nothing to keep it from growing into “the monster it is today.”

A spokesman for the archdiocese said it “has. . . taken these allegations seriously and has been investigating them.”

Crist hung up on a reporter, and Miqueli declined to answer a call through a church receptionist.