Prime Minister Narendra Modi received Hasina. She was then accorded the ceremonial guard of honour.
In a special gesture on Friday, Modi personally received his Bangladeshi couterpart at the airport. Hasina is on a four-day official visit to India.
This is her first bilateral visit to India in seven years. She last visited the country in January 2010.
Modi and Hasina will hold a bilateral summit on Saturday following which over 20 agreements, including a civil nuclear and two memorandum of understanding (MoUs) on defence cooperation, were expected to be signed.