This will be the first meeting between the two leaders since Chancellor Merkel began her fourth term on March 14 this year.
The visit demonstrates the commitment by the two countries to maintain the momentum of high-level exchanges.
Prime Minister Modi will be visiting Sweden and Britain from April 16 to 20 with an aim to boost bilateral cooperation in key areas, including trade and investment.
During his visit, the Prime Minister will also participate in the first-ever India-Nordic Summit and this year's Commonwealth Heads of Government Meeting (CHOGM).
Prime Ministers of all Nordic countries-Denmark, Finland, Iceland, Norway and Sweden will attend the summit.
Firstly, Prime Minister Modi will travel to Sweden on a two-day visit from April 16-17. Later, he will travel to the United Kingdom.