Kerry, who met External Affairs Minister Salman Khurshid in Swiss city Montreauex last week, sought to end the row over the arrest of Indian diplomat Devyani Khobragade as the two leaders committed to move forward bilateral ties.
"When I spoke with External Affairs Minister Khurshid in Montreaux this past week, we agreed that both our peoples benefit when the world's largest and oldest democracies work closely together," Kerry said in a message.
Greeting India on the Republic Day on behalf of President Barack Obama, Kerry said the real magic of India lies as much in its promising future as it does in its rich heritage.
"I'll never forget my first visit to India nearly 20 years ago on a United States Senate Congressional trade delegation. The dynamism I saw then continues today. India is a country on the move," Kerry said.
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"India's transition to democratic independence and emergence on the world stage was one of the great success stories of the 20th century. Today, it is an inspiration for so many young democracies," Kerry added.
Indian diplomat Khobragade was arrested on December 12 on visa fraud charges, strip-searched and held with criminals, triggering a row between the two countries with India retaliating by downgrading privileges of certain category of US diplomats among other steps.