After a summit in Singapore on Tuesday, the two leaders signed an agreement to work towards the "complete denuclearisation" of the Korean Peninsula although observers say it is short on detail.
Mr Calvo said the agreement will end years of instability in Korea and the Pacific region.
He said the people of Guam have experienced suffering and death during World War Two and were the target of North Korean missile threats in 2013 and last year.
He said the promise of peace in the region was closer and said Guam's thankful for the president's stance.
