Halle Berry isn't just a baby mama ... she's a sugar mama ... because she's PAYING for Gabriel Aubry to live the HIGH LIFE in NYC this week ... just so he can spend some time with their daughter.
Sources connected to the couple tell us ... Halle paid for Gabriel's flight and is also footing the bill to put him up at the super-fancy London Hotel in Midtown while she films her movie, "New Year's Eve," in the city.
As TMZ first reported, Aubry tried to stop Halle from bringing Nahla to NYC -- but a judge told Gabriel that he knew what he was getting into when he started dating one of the biggest movie stars on Earth ... and ruled against him.
Even though she won in court, Halle agreed to pay for Gabriel's trip anyway ... and who's really gonna turn down the London?!?