The Nobel Peace Prize is one of five awards created by Swedish inventor Alfred Nobel.
Lawmakers and academics from around the world can send nominations for the Nobel Prize.
Now that the Trump-Kim summit has come to a successful end, people have started guessing whether this breakthrough in relations between the U.S. and DPRK will bring its leaders the Nobel Peace Prize.More news: Summit mania on eve of meeting
Christian Tybring-Gjedde and Per-Willy Amundsen belong to Norway's right-leaning Progressive Party, which favors small government and low taxes, and they hold anti-immigration and anti-Muslim views.
While a Nobel award would cause consternation among Trump's critics, he also has some high-profile supporters.
South Korean President Moon Jae-in said in April that Trump deserved the prize.
In 2015, Nobel committee member Thorbjoern Jagland, a former Norwegian prime minister who heads the Council of Europe, tweeted: "Donald Trump you may have set the news agenda but at what cost?"More news: Spain manager Lopetegui sacked a day before World Cup 2018
The most recent Americans to win the Peace Prize were then-President Obama in 2009 and former Vice President Al Gore in 2007.
While the Norwegian Nobel committee is appointed by parliament, its decisions are independent.
He declined to comment on Tuesday. The prize would be next year's because the deadline for this year has already passed.
"Since taking office, President Trump has worked tirelessly to apply maximum pressure on North Korea to end its illicit weapons programs and bring peace to the region".More news: How Meghan Markle dared to break protocol at Queen's birthday parade
The North Korean situation has been rocky as it has unfolded, but there has been significant progress.
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