WASHINGTON — A former White House aide, I. Lewis Libby, is no longer appealing his conviction in the CIA leak case, his attorney, Theodore Wells, said today.

Libby, the former chief of staff to Vice President Cheney, was convicted of perjury and obstruction but President Bush commuted his 30-month prison sentence in July. Had Libby won a new trial, that commutation would be meaningless and Libby would again face potential prison time.

“We remain firmly convinced of Mr. Libby’s innocence,” Mr. Wells said. “However, the realities were, that after five years of government service by Mr. Libby and several years of defending against this case, the burden on Mr. Libby and his young family of continuing to pursue his complete vindication are too great to ask them to bear.”

Libby was convicted of lying and obstructing an investigation into the 2003 leak of the identity of a CIA operative, Valerie Plame. He was the only person to face criminal charges in the case.

After Mr. Bush’s commutation, Libby paid a $250,000 fine and remained on two years probation. There was no guarantee Libby would do any better if he persuaded an appeals court to grant a new trial. In fact, by the time that new trial was over, Mr. Bush would likely be out of office and the result of that trial would almost certainly stick.

“The appeal would lead only to a retrial,” Mr. Wells said, “a process that would last even beyond the two years of supervised release, cost millions of dollars more than the fine he has already paid, and entail many more hundreds of hours preparing for an all-consuming appeal and retrial.”

Special Prosecutor Patrick Fitzgerald had no comment today and has said the leak investigation is closed.

The decision to withdraw his appeal means Libby will remain a convicted felon. President Bush could wipe away the conviction with a full pardon, something he has refused to rule out. Mr. Wells said today that he has not spoken to the White House about a pardon and does not know what Mr. Bush will do.

Another of Libby’s attorneys, William Jeffress, has said Libby deserves a pardon.

Libby was the only person charged in the investigation into the leak of Mrs. Plame’s identity. Nobody was charged with the leak itself, which Mrs. Plame alleges was politically motivated. Her husband, a former Ambassador, Joseph Wilson, was a vocal critic of the Bush administration’s war policy.

Mrs. Plame sued Libby and other members of the Bush administration over the leak, but a federal judge dismissed the lawsuit.