Britain's biggest drugmaker first announced plans to lift the holding in GlaxoSmithKline Pharmaceuticals from 50.7% in December. It held an open offer to buy the extra shares at Rs 3,100 each from February 18 to March 5.
Final payment for shares tendered and accepted will be completed by March 20, GSK added.
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David Redfern, GSK's chief strategy officer, said the decision to increase exposure to the Indian market was "a significant vote of confidence" in growth prospects for its business in India.
GSK, which has had a presence in India for 90 years, is keen to secure a bigger share of India's growing $14 billion-a-year market, which it views as promising despite recent moves to impose price cuts and limit patents on some medicines.
The open offer was managed by HSBC.