After attending the Namaste Trump event at Motera stadium in Ahmedabad, he and his delegation travelled to Agra where they visited the Taj Mahal.
Trump was received at the airport here by Union Minister Hardeep Singh Puri and a number of senior officials.
He will be accorded a ceremonial welcome at the Rashtrapati Bhavan on Tuesday morning. Trump will also pay tributes to Mahatma Gandhi at Rajghat.
Modi and Trump will later hold restricted and delegation level talks at the Hyderabad House here.
The US President will be staying at ITC Maurya hotel.