The India-US joint statement, issued after talks between Mr Trump and Prime Minister Modi, said the US president applauded the entrepreneurship and innovation of Indians and Indian-Americans that have directly benefited both nations.
The citizens of Switzerland and the United Kingdom are also part of the programme, which India has now joined.
Global Entry is a US Customs and Border Protection (CBP) programme which allows expedited clearance for pre-approved, low-risk travellers upon arrival in the United States.
On landing at select airports, the programme members enter the United States through automatic kiosks, instead of queueing up to clear the immigration by meeting an immigration officer.
At these airports, the members proceed to the Global Entry kiosks, present their machine-readable passport or US permanent resident card, place their fingerprints on the scanner for fingerprint verification and complete a customs declaration.
The kiosk then issues the traveller a transaction receipt and directs him or her to the baggage claim and the exit.
It says that while Global Entry's goal is to speed up travellers through the process, members may still be selected for further examination when entering the United States.
The select US airports that offer the facility include all major ones, including New York, Newark, Washington, Austin, Dallas, Houston, Boston, Chicago, San Francisco, Los Angeles, San Jose, Las Vegas, Miami and Seattle.
Besides those in the US, the airports at Dublin in Ireland, Vancouver and Toronto in Canada and Abu Dhabi are also on the list.
These airports have been chosen as an air traveller can clear US immigration at these airports, virtually making their onward flight from there to an American city a domestic one.
Get the latest election news, live updates and election schedule for Lok Sabha Elections 2019 on ndtv.com/elections. Like us on Facebook or follow us on Twitter and Instagram for updates from each of the 543 parliamentary seats for the 2019 Indian general elections.