The meeting comes weeks ahead of a planned meeting between Trump and North Korean leader Kim Jung Un in May.
During that visit, Trump and Abe caused a stir when they appeared to discuss their response to a North Korean missile launch while sitting in full view of patrons in the resort's dining terrace.
His remarks may be based on satellite imagery provided by the United States.
Donald Trump will meet with Japanese Prime Minister Shinzo Abe April 17-18 to discuss the United States president's planned summit with North Korea's Kim Jong Un and other matters, the White House said Monday. "North Korean summit", he said.
There are signs of a thaw on the peninsula, with global attention fixed on two closely related events - an inter-Korean leaders' summit scheduled for April 27, and a first-ever U.S. North Korea admits to abducting 13.
North Korea last conducted a nuclear test, its sixth and most powerful, in September 2017.
The prime minister said he will directly request Trump to bring up the issue of Japanese abductees in North Korea when the US president meets North Korean leader Kim Jong-un for a summit in May.
Suga added that Japan has been conveying its concerns about the tariffs to USA officials.
The discussions come a time when Trump is seeking to change the USA trading relationships across the globe, claiming that Japan among other countries has long taken advantage of the United States.
There were an estimated 17 Japanese nationals who were reportedly snatched by North Korea in the 1970s and 80s.
The North Korean leader met Chinese President Xi Jinping in a surprise visit to Beijing this week, which was his first foreign trip since becoming leader in 2011.