Wells Fargo is one of the first banks to outline its plans
US bank Wells Fargo has said it plans to raise $7.5bn (£4.9bn) from selling new shares, a day after the US Treasury said 10 banks needed to boost reserves.
Morgan Stanley is also hoping to raise $3.5bn from share sales.
Bank of America said it planned to sell assets and raise capital to secure the $33.9bn it needs.
On Thursday, the US Treasury said that 10 of America's 19 largest banks needed to raise a combined total of $74.6bn of extra funds.
That was the main finding of the so-called "stress tests" which were carried out to see if the banks had sufficient capital to cope should the recession worsen.
The banks that require extra capital have been given until 8 June to finalise their plans to do so, and get them approved by regulators.
Separately, Fannie Mae, the mortgage finance company, has said it needs an extra $19bn in government aid after reporting a loss of $23.2bn for the first quarter.
Wells Fargo's shares are to be priced at $22 each, a discount of 11% to Thursday's closing price, with Morgan Stanley's new shares priced at $24 each, a discount of nearly 12% to Thursday's close.
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THE 10 THAT NEED MORE CAPITAL
Bank of America - $33.9bn
Wells Fargo - $13.7bn
GMAC - $11.5bn
Citigroup - $5.5bn
Morgan Stanley - $1.8bn
Regions Financial - $2.5bn
SunTrust Banks - $2.2bn
KeyCorp - $1.8bn
Fifth Third Bancorp - $1.1bn
PNC Financial Services - $600m
Ken Lewis, chief executive of Bank of America - the bank which requires the most new money - has said that he will stay at the bank to help it raise the cash and repay government loans.
Mr Lewis has faced criticism for his purchase of Merrill Lynch and some investors have called for his resignation.
Other banks that need more money include GMAC, the former financial arm of General Motors, which needs $11.5bn, Citigroup, which requires an additional $5.5bn of funds, and Morgan Stanley, which has been told to find $1.8bn.
The 19 banks that were tested by Treasury Department and Federal Reserve officials account for two-thirds of the total assets of the US banking system, and more than half of the total amount of credit in the US economy.