Fiery catwalker Naomi Campbell (search) landed on her back in a catfight with her immigrant housekeeper that ended with cops being called to the leggy supermodel's Manhattan pad.

The housekeeper, Millicent Burton (search), 44, of The Bronx, alleges that Campbell punched and scratched her face so badly Saturday that she wound up at Lenox Hill Hospital.

"She's still swollen," said Burton's son, Khirlu, adding, "Naomi has hit her before."

But reps for Campbell pooh-poohed the brawl, saying the dispute was brought on by Burton, who suddenly went berserk after the model asked her to help pack for a trip to Brazil.

Yes, "they were rolling on the floor. They were fighting. They were screaming," said Campbell's assistant, Lauren Meisels, who witnessed the fight at the model's Park Avenue digs around 2:50 p.m.

But the fight only began after "Naomi asked her to organize one bag, and [Burton] started screaming, 'I'm not doing this today!' " Meisels told The Post.

"When Naomi said, 'OK, you don't want to work today, please leave' . . . [Burton] started making a fuss, saying she wouldn't leave without money . . . They were screaming at each other. Millie pushed Naomi," Meisels said.

"Naomi put her hands up to defend herself, and next thing I know, they're on the floor . . . Millie was on top of her."

Meisels said she helped pry the pair apart, and Burton fled downstairs.

Cops were called to the scene, and Burton filed a harassment complaint against her 34-year-old boss, for whom she had been working for about eight months. No charges were filed nor summonses issued.

According to the police report, Campbell began yelling at Burton, prompting the housekeeper to push the model "to create space between the two of them.

"[Burton] alleges that suspect slapped her on the left side of her face and suspect threw her purse out the door," the complaint said.

It added that "the victim had no injuries."

But a source said Burton's face was very swollen and bruised yesterday.

"Millicent went to get an X-ray. She said her face was aching very badly," the source said.

Burton's lawyer, Salvatore Gangemi, declined comment. But a source close to Burton said the housekeeper, who emigrated from Jamaica five years ago and is supporting three kids, plans to sue Campbell.

Burton, reached at her home yesterday, only said, "Naomi Campbell smacked me in the face."

British-born Campbell, who is of Jamaican descent and was honored last week at City Hall in a celebration of Jamaican independence, denied through her lawyer, John Rosenberg, that she abused Burton.

"Ms. Campbell vigorously disputes the version of events that is being presented by Miss Burton," Rosenberg said.

"It was Miss Burton who precipitated these events, and it is Miss Burton who now appears to be attempting to capitalize on the incident."

Campbell pleaded guilty in 2000 to beating an assistant with a telephone and has been sued by another ex-employee for alleged violence.