Eminem checked himself into rehab for a sleeping-pill addiction last summer, and Kim said the couple began having issues soon afterwards--long before they remarried in January.

"Right after he came home from his rehab, we started to have a few problems, and I thought it was going to be in our best interest to delay the wedding," Kim said. "But he really pushed it, and I thought it was really going to be something that worked this time."

Kim said she hoped--and still hopes--that she and Eminem can seek counseling and save their marriage.

"He left a month-and-a-half ago, and he comes around once a week to see the kids, and he's not himself," she said.

In a statement issued later on Thursday, Eminem, whose real name is Marshall Mathers, responded to Kim's allegations.

"The details surrounding both my marriage and subsequent filing for divorce are private, and I had hoped to keep them that way for the sake of my family," the statement read.

"A few of Kim's statements in a radio interview need to be addressed. First, her allegations regarding my status post-rehab are both untrue and unfortunate. Second, she was aware that I was filing for divorce.

"We both tried to give our marriage another chance and quickly realized that a wedding doesn't fix the underlying problems."

Eminem filed for divorce from Kim in a Wednesday (4/5) filing in Macomb County, MI. The couple first divorced in 2001, but reconciled late last year. Their oft-stormy relationship, which began when they were teens, has been fodder for many of the rapper's songs.