It’s almost as funny sounding as graduate students joining the UAW:

The city’s horse-drawn carriages are rolling through Central Park with a new passenger aboard: the Teamsters.

A coalition of owners, drivers and stable workers voted last week to join the international union as they gear up for this Friday’s City Council committee hearing on a bill to ban the industry.

“This is not an animal rights issue for us,” said Colm McKeever, owner-operator of Shamrock Stables and a 20-year industry veteran. “This is a labor issue, which makes this a very natural fit with the union.”

Demos Demopoulos, secretary-treasurer of Teamsters Local 553 in Manhattan, said the new members wanted some juice in the battle to keep their industry alive.

“What they’re really looking for is to be part of an organization that has some political power and represents working people,” said Demopoulos.

“They just want to have their voices heard down at City Hall.”

There’s a historical tie, too: Local 553 represented coal-delivering carriage drivers at the turn of the 20th century.

“They saw that kinship,” the union leader said. About 40 industry workers, including the stable owners, voted last Wednesday to join the Teamsters, according to McKeever.