The shareholders of the bank approved the capital-raising plan at the annual general meeting, it said in a statement.
The AGM, it said, approved a special resolution for "raising capital of up to Rs 3,700 crore, including capital infusion by the government, and the bank may issue equity capital-raising options such as through public issue (FPO) and/or rights issue or private placement..."
The AGM, which was held yesterday, also approved a dividend of Rs 6 per share.
Finance Secretary Rajiv Mehrishi has said the government is likely to infuse an additional USD 1.8 billion (about Rs 11,500 crore) in public sector banks this fiscal over and above USD 1.2 billion earmarked in the Budget.
The government held 60.47 per cent stake in the bank as of March 15, 2015.
The stock closed at Rs 153.05 on BSE on Friday, down 0.97 per cent.