The Hockey World Cup will be held from 28 November to 16 December.
The teenager from Manipur had become the Asian Cadet champion in 2017.
The Indian captain was honoured with the Rajiv Gandhi Khel Ratna award for 2018.
He had been named ICC Cricketer of the Year and ICC Test Player of the World in 2004.
Kohli also scored his 37th ODI century in the second match of the series against West Indies.
The 16-year-old is also the reigning junior world shooting champion.
The second gold medal for India came in less than 24 hours.
India have won a total of 16 medals at the games till Monday.
Kohli scored 139 as India piled on the runs against West Indies in the First Test.
Shaw had led the Indian team to victory in the U-19 Cricket World Cup.