The country's Ministry of Defence has said the Crazy Rich Asians author is wanted for failing to report for military service.
"Crazy Rich Asians" star Henry Golding was mistaken for a crew member by his co-star because he was so "humble".
Singapore has a strict law on national service for all male citizens and enforces it with few exceptions.
His 1994 application to renounce his Singapore citizenship and a subsequent appeal had been rejected, the ministry said. He also didn't have the right permit for a long term stay overseas, the Ministry said. "Mr Kwan has committed offenses under the Enlistment Act, and is liable to a fine of up to $10,000 and/or imprisonment of up to three years upon conviction".
Kwan's publicist has not yet responded to a CNN request for comment.
The romantic comedy, where the scion of a fabulously wealthy Singapore family brings home his not-so-rich Chinese-American economics professor girlfriend to attend his best friend's wedding and meet his disapproving parents, opened here Tuesday to packed audiences.
Speaking on breakfast show Today, she said: "I thought he was the assistant director (AD) because when I landed in Singapore, I was in a hotel room, I was very jet lagged and I heard a knock on my door". Being on Nick's arm puts a target on Rachel's back, with jealous socialites and, worse, Nick's own disapproving mother (Michelle Yeoh) taking aim.
The event took place at Capitol Theatre, one of Singapore's historic venues, and also attracted a bunch of local celebrities and the city's movers and shakers.
Following the initial success of "Crazy Rich Asians" both in the box office and critical acclaim, Warner Bros. has reportedly started developing the film's sequel.