Daniel W. Horgan, a former executive director of the Democratic National Committee who took a White House consulting post this week, quite his job yesterday within hours of a published report linking him to an alleged fee-splitting scandal in New Jersey.

Horgan, 48, was a consultant to White House personnel director Arnie Miller, who reported the resignation last night.

Miller said Horgan denied any wrongdoing but quit because the report, published in the Trenton (N.J.) Times, "made it difficult for him to do the work he hired him to do until he can clarify the allegations."

The newspaper reported yesterday that a private New Jersey consultant claims to have paid Horgan $17,500 in August 1977 in an alleged fee-splitting deal in order to obtain loans from the state's Housing Finance Agency.

The consultant said he also paid $44,250 to a real estate salesman who was Horgan's friend and business partner, the paper reported. Horgan told the Associated Press yesterday he took the $17,500 as part of a legitimate business deal between the consultant and the salesman, who reportedly had "insisted" on making him a partner in the venture. Horgan was unavailable for comment last night.

The consultant has been questioned by the New Jersey attorney attorney general's office, the U.S. attorney's office in Newark and the New Jersey State Commission of Investigation. All three began probing the HFA in February after a year-long series of articles in the Times about questionable practices at the agency.

Horgan held the second highest post in the New Jersey Community Affairs Department of which HFA is a part from 1974 until 1976, when Jimmy Carter picked him to run his presidential campaign in Ohio.

Horgan was the executive director of the Democratic National Committee from January 1978 until last week. He has been mentioned for a $50,000-a-year job heading one of several regional development commissions now being considered in Congress.