Nabors Industries Ltd. (NBR), the oil-drilling firm whose pay practices have long rankled some investors, is paying Chief Executive Anthony Petrello $60 million to give up potentially unlimited annual bonuses and tie his future compensation more closely to company performance.

In a securities filing on Monday, Nabors said it will pay Mr. Petrello $27 million in stock, $18 million in cash, and restricted stock valued at $15 million to rewrite his employment contract. He won't be able sell some of the restricted shares until 2016.

Mr. Petrello, a 22-year Nabors veteran, succeeded longtime CEO Eugene Isenberg in October 2011. Mr. Isenberg was in line for a $100 million payment when he stepped aside but later agreed to give up the money.

Messrs. Isenberg and Petrello had long had contracts guaranteeing them bonuses based on a percentage of Nabors's cash flow above a specified amount. Following shareholder complaints, the formulas were changed in 2009 to lower the potential payments.

In the new contract, Mr. Petrello agreed to eliminate the bonus formula. He also gave up a potential $50 million payment if he died or was disabled, and he agreed to tie more than 80% of his compensation to Nabors's financial or share-price results. Nabors shares have fallen 13% since Mr. Petrello became CEO.

The new contract sets Mr. Petrello's salary at $1.7 million and makes him eligible for an annual bonus of up to $3.4 million and stock grants of up to $5.1 million annually, based on how Nabors stock performs compared with 13 other oil-industry companies.

By comparison, in 2011, Mr. Petrello received compensation valued at $16 million, including a $13.6 million bonus under the old formula. Nabors hasn't yet disclosed its 2012 compensation.

The CEO owned roughly 9.7 million shares of Nabors stock as of April 2012, a stake that would be worth $160 million if he still owns all the shares.

In both 2011 and 2012, Nabors investors voted a majority of shares against the company's executive-compensation plan, under nonbinding "say-on-pay" proposals. Shareholders last year also voted in favor of nonbinding resolutions to restrict new severance agreements and to give investors more leeway to nominate directors.

"We're glad to see a step in the right direction, and we look forward to seeing the detail," said Anne Simpson, director of corporate governance for the California Public Employees Retirement System, which sponsored last year's proposal to limit severance agreements.

Ms. Simpson declined to comment on whether Calpers had submitted shareholder proposals for this year's annual meeting, which hasn't been scheduled yet, or whether it had discussed the contract changes with Nabors.

A spokesman for New York City Comptroller John C. Liu, trustee for pension funds that sponsored last year's director-nomination proposal, said the office was reviewing Mr. Petrello's new contract. But the spokesman said Mr. Liu still has "serious concerns" about the accountability of Nabors's board. The spokesman said Nabors is trying to block a second shareholder vote on a similar proposal. A Nabors spokesman didn't return calls for comment.

Nabors owns more than 1,000 onshore drilling rigs, which operate around the world, as well as some 50 offshore rigs and an arm that offers oil-field services, such as hydraulic fracturing. The Houston company has shed some assets not considered core to its business, such as oil fields in California, but has faced investor calls to slim down further and invest in new, high-tech rigs used in shale drilling.

--Ryan Dezember contributed to this article.

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