The Supreme Court on Tuesday turned down a major property-rights challenge to rent control laws in New York City and elsewhere that give tenants a right to stay for many years in an apartment with a below-market cost.

A group of New York landlords had sued, contending the combination of rent regulation and long-term occupancy violated the Constitution’s ban on the taking of private property for public use.

The justices had considered the appeal since late September. Only Justice Clarence Thomas issued a partial dissent.