Mr Pence said the handover demonstrated the success of President Trump's summit with Mr Kim.
"Thank you to Chairman Kim Jong Un for keeping your word & starting the process of sending home the remains of our great and beloved missing fallen!" Late Wednesday, he addressed Chairman Kim in a tweet, saying he was "not at all surprised that you took this kind action".
Trump tweeted early Thursday his thanks to Kim "for your nice letter - I look forward to seeing you soon!"
The Washington Post reported this week that us spy agencies are seeing signs that North Korea is constructing new missiles at a factory that produced the country's first intercontinental ballistic missiles capable of reaching the United States, according to officials familiar with the intelligence.
Trump also took to Twitter earlier to praise an "incredibly handsome ceremony" in Hawaii, where Vice President Mike Pence helped welcome the remains to the United States.
President Trump issues stern warning to the president of Iran
Iran's people want to be free from a corrupt government and also wish for closer ties with the United States, says a US senator. Fox News foreign policy analyst Kiron Skinner on President Trump's decision to pull the USA out of the Iran nuclear deal .
The repatriation of United States remains was agreed by Mr Trump and Mr Kim after their June summit in Singapore.
The United States said during a solemn ceremony on Wednesday the human remains presumably included Americans killed in the Korean War and thanked North Korea for making good on its pledge to hand them over. He was a member of the 7th Infantry Division and one of about 2,500 USA soldiers assigned to the 31st Regimental Combat Team, also known as Task Force MacLean and Task Force Faith.
Trump has sought to show progress from his June 12 summit with Kim.
The Washington Post on Tuesday reported that US intelligence officials suspect that North Korea is continuing to build new missiles in the same research facility that manufactured the country's ballistic missiles capable of reaching the United States.