Two key members of the Senate Judiciary Committee said yesterday that they continue to have reservations about the nomination of U.S. Appeals Court Judge Robert H. Bork to the Supreme Court.

Sen. Dennis DeConcini (D-Ariz.) said he will confront Bork with "some hard questions," including matters of "integrity," when the Judiciary Committee opens hearings on the nomination Tuesday.

Sen. Arlen Specter (R-Pa.) questioned whether Bork's confirmation "would turn the court sharply because a number of his writings suggest he is in sharp variance from justices from {Oliver Wendell} Holmes all the way to Chief Justice {William H.} Rehnquist."

DeConcini said he found some of Bork's writings as a Yale Law School professor "very disturbing," and added:

"He's got some problems; there's no question about it."

DeConcini and Specter, who were interviewed on ABC News' "This Week With David Brinkley," are considered the key swing votes, along with Sen. Howell Heflin (D-Ala.), on the closely divided Judiciary Committee as the Bork confirmation fight moves into high gear.

Strategists on both sides view DeConcini as the most likely of the three to support Bork, but yesterday the Arizona Democrat said his reservations "go beyond just his {Bork's} constitutional interpretation" to include "some of the integrity questions."

Specifically, DeConcini said he wanted to hear Bork's response to charges by a retired federal judge that he attempted to substitute his own views for the majority opinion in a three-judge panel on which he was serving and "his excuse and rationale legally for the dismissal of Archibald Cox."

As solicitor general under President Richard M. Nixon, Bork fired Watergate special prosecutor Cox after Attorney General Elliot L. Richardson and Deputy Attorney General William D. Ruckelshaus resigned rather than do so.

DeConcini said he would also question Bork about his failure to pay personal property taxes to the city of New Haven on two automobiles he registered in Connecticut in 1972 and 1973. Bork paid more than $1,000 in back taxes and interest this summer after the New Haven Register reported the delinquent accounts.

DeConcini said it would be "a huge mistake, both politically and strategically for the role of the Senate," for Bork's opponents to resort to a filibuster on the Senate floor to defeat the nomination. But Specter refused to commit himself and suggested that an anti-Bork majority of the Judiciary Committee might refuse to send the nomination to the floor despite pledges by Senate Majority Leader Robert C. Byrd (D-W.Va.) and committee Chairman Joseph R. Biden Jr. (D-Del.) that the full Senate will decide the issue.

Specter said his vote in the heated confrontation will "turn on whether Judge Bork fits into the tradition of U.S. constitutional jurisprudence." He said he wants to know whether Bork's most controversial writings were "matters of professorial theorizing and hyperbole in writing, or whether he would turn the court sharply."

How Bork would rule in future cases dealing with abortion is less important than that he agree that "the court should retain the power to decide these questions," Specter said.

Bork has a prolific, 25-year record of often controversial positions that his opponents plan to attack during the hearings. But in a likely preview of the GOP defense of Bork, Sen. Orrin G. Hatch (R-Utah), second-ranking Republican on the Judiciary Committee, said, "As a law professor, he's paid to be provocative and to question things."

Hatch, on the same interview program, added that since Bork's 1982 appointment as an appeals court judge, he has "shown a very moderate and reasonable record in that court, where his actions speak louder than words."

Hatch said Bork's critics, including four members of the American Bar Association's judicial evaluation committee who found him "not qualified" for the high court, are unable to attack Bork's record or integrity, "so what they've done is play politics."

According to sources, 10 members of the ABA committee gave Bork the top rating of "well qualified" and one member gave him the middle rating of "not opposed." The panel has unanimously endorsed all other recent Supreme Court nominees.

Meanwhile, Reagan administration officials continued to portray Bork as far less controversial than his opponents charge.

Interviewed on NBC News' "Meet the Press," White House chief of staff Howard H. Baker Jr. said Bork is "a mainstream jurist" with "a high regard for precedent" who "doesn't try to legislate" as a judge.

Asked about the strong opposition to Bork by civil rights groups, Baker said blacks and other minorities should be reassured by Bork's view that "the Constitution must be interpreted according to the intent of the Founders and that judges cannot legislate but must interpret."