The companies — which include household names like eBay, Boeing, General Electric and Verizon — averaged $1.9 billion each in profits, according to the study by the Institute for Policy Studies, a liberal-leaning research group. But a variety of shelters, loopholes and tax reduction strategies allowed the companies to average more than $400 million each in tax benefits — which can be taken as a refund or used as write-off against earnings in future years.

The chief executives of those companies were paid an average of more than $16 million a year, the study found, a figure substantially higher than the $10.8 million average for all companies in the Standard Poor’s 500-stock index.

The financial data in the report was taken from the companies’ regulatory filings, which can differ from what is actually filed on a corporate tax return. Even in a year when a company claims an overall tax benefit, it may pay some cash taxes while accumulating credits that can be redeemed in future years. For instance, General Electric reported a federal tax benefit of more than $3 billion in 2010, but company officials said they still expected to pay a small amount of cash taxes.

The authors of the study, which examined the regulatory filings of the 100 companies with the best-paid chief executives, said that their findings suggested that current United States policy was rewarding tax avoidance rather than innovation.

“We have no evidence that C.E.O.’s are fashioning, with their executive leadership, more effective and efficient enterprises,” the study concluded. “On the other hand, ample evidence suggests that C.E.O.’s and their corporations are expending considerably more energy on avoiding taxes than perhaps ever before — at a time when the federal government desperately needs more revenue to maintain basic services for the American people.”

The study comes at a time when business leaders have been lobbying for a cut in corporate taxes and Congress and the Obama administration are considering an overhaul of the tax code to reduce the federal budget deficit.

Many business leaders say that the top corporate statutory rate of 35 percent, which is higher than any country except Japan, is hobbling the economy and making it difficult for domestic companies to compete with overseas rivals. A coalition led by high-technology companies and pharmaceutical manufacturers have been pushing for a “repatriation holiday,” which would let them bring as much as $1 trillion in foreign profits back to the United States at substantially reduced rates.

But the Obama administration has said it will consider lowering the corporate rate only if Congress agrees to eliminate enough loopholes and tax subsidies to pay for any drop in revenue. Many policy experts estimate that the United States could lower its corporate rate to the high 20s if it eliminated the maze of tax breaks that favor specific industries and investors.

The report found, however, that many of the nation’s largest and highly profitable companies paid far less than the statutory rate.

Verizon, which earned $11.9 billion in pretax United States profits, received a federal tax refund of $705 million. The company’s chief executive, Ivan Seidenberg, meanwhile, received $18.1 million in compensation. The online retailer eBay reported pretax profits of $848 million and received a $113 million federal refund. John Donahoe, eBay’s chief executive, collected a compensation package worth $12.4 million, the study said.

Verizon officials disputed the report. Robert Varretoni, a company spokesman , said that the $18 million in compensation for Mr. Seidenberg was a target, which will only be paid in full if the company stock rises when his bonus is fully vested in three years. Mr. Varretoni also said it was misleading of the report to cite Verizon’s tax benefit without noting that the company also incurred billions of dollars in deferred taxes which “will be paid over time.”

“The fact is, Verizon fully complies with all tax laws and pays its fair share of taxes,” Mr. Varretoni said.

Chaz Bickers, a Boeing spokesman, said that the company’s taxes have declined in recent years because it has made huge investments in United States manufacturing.

Mr. Bickers said that the company also paid hundreds of millions in cash taxes and incurred an additional $1 billion in deferred taxes that it will pay at some date in the future.

“We pay our taxes and we have added 5,000 more U.S. manufacturing jobs that were incentivized by tax benefits,” he said.While the accounting strategies used to lower taxes varied from company to company, the report found that 18 of the 25 corporations had offshore subsidiaries, which can be used to shelter income.

To discourage companies from gaming the tax system, the report called for tighter rules on offshore tax havens and new restrictions on write-offs for executive compensation.

“Instead of sharing responsibility for addressing our nation’s fiscal challenges,” said Chuck Collins, a senior scholar at the institute who co-wrote the study, “corporations are rewarding C.E.O.’s for aggressive tax avoidance.”

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