Several large U.S. banks undertook big capital-raising efforts on Tuesday, hoping to satisfy regulators who want to see bigger cushions against a deep recession, or proof they have enough of a buffer already.

Bank of America Corp , which regulators last week ordered to find $33.9 billion of capital, sold $7.3 billion of China Construction Bank Corp <601939.SS> shares to a group of investors, according to a person directly involved in the sale who was not authorized to discuss it. The bank declined to comment, and CCB could not be reached.

Meanwhile, U.S. Bancorp and Bank of New York Mellon Corp sold a respective $2.5 billion and $1.2 billion of common stock, as they look to repay taxpayer bailout funds.

Unlike Bank of America, both were deemed in U.S. government stress tests to have sufficient capital buffers. BB&T Corp , which also got a clean bill of health, is expected to sell $1.5 billion of stock.

Dozens of lenders are hoping to convince regulators they can withstand a steep economic downturn, or are ready to repay money from the $700 billion Troubled Asset Relief Program.

TARP was designed to spur lending, but banks now consider it a burden because it imposes too many restrictions, including on pay, and suggests that recipients are weak.

Bank of America took $45 billion from TARP, U.S. Bancorp $6.6 billion, BB&T $3.1 billion and Bank of New York Mellon $3 billion. Lenders say it is up to regulators to decide when money can be repaid. The government does not want banks to repay funds, only to find later that they need more.

It is now a negative to have TARP, Bank of New York Mellon Chief Executive Robert Kelly said at a UBS financial services conference. When I was traveling in the Middle East, Asia and in Europe over the past couple of months... I got a pretty clear message that it would differentiate us if we were able to get out.

SHORTFALLS

Bank of America last week said it plans to plug roughly half its $33.9 billion capital shortfall by issuing new common stock, and the rest through asset sales and other means.

The bank sold a little more than one-third of its roughly 16.7 percent CCB stake to investors including Singapore's state-run Temasek Holdings , China Life Insurance Co <2628.HK> <601628.SS> and China's Hopu Investment Management Co, the person involved in the sale said.

Bank of America owns other CCB shares it cannot sell before August 29, 2011. Chief Executive Kenneth Lewis said on Monday we always want to have a very large ownership position.

Separately, U.S. Bancorp's $2.5 billion stock sale comprised 139 million shares at $18 each. Bank of New York Mellon's $1.2 billion sale, 20 percent larger than expected, comprised 42 million shares at $28.75 each.

The shares priced at 3 percent discounts to Monday closing prices, which is normal for secondary stock offerings.

Wells Fargo & Co and Morgan Stanley , found under their stress tests to need more capital, sold a respective $8.6 billion and $4 billion of stock on Friday.

KeyCorp , also told raise capital, is selling $750 million of stock. Capital One Financial Corp , found to have no shortfall, sold $1.55 billion of stock on Monday.

In afternoon trading, Bank of America shares were down 5.4 percent at $12.24, U.S. Bancorp fell 6.1 percent to $17.37, Bank of New York Mellon fell 4.2 percent to $28.31, and BB&T fell 6.1 percent to $22.85.

(Reporting by Jonathan Stempel; Editing by Tim Dobbyn)

Bank of america U.S. Bancorp China Construction Bank