The "rotational deployment" of the vessels, called littoral combat ships (LCS), comes as China continues to flex its muscles in the South China Sea and tensions remain on the Korean Peninsula.
"We will soon see up to four LCS here in Singapore as we rotationally deploy Seventh Fleet ships," Rear Admiral Charles Williams said .
"We envision four ships here by late 2017 to sometime in 2018... By 2018, four LCS ships will be rotationally deployed here to Singapore."
It replaced another LCS, the USS Freedom, which recently ended an eight-month tour of duty.
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The USS Fort Worth is set to take part in exercise Foal Eagle, a joint military drill with South Korea from February 24-March 6.
It will also join regional navies in the annual Cooperation Afloat Readiness and Training exercises and the International Maritime Defence Exhibition.
"The role of the US navy in both Southeast Asia and Northeast Asia is about presence. It's about being where it matters when it matters," Williams said.
The US Navy plans to build 52 LCS vessels at a total cost of USD 37 billion but the programme has become controversial due to cost inflation, design and construction issues.
In 2012 the then-US defense secretary Leon Panetta announced that Washington would shift the bulk of its naval fleet to the Pacific by 2020 as part of a new strategic focus on Asia.
China is embroiled in a maritime dispute with four Southeast Asian countries -- Brunei, Malaysia, the Philippines and Vietnam -- as well as with Taiwan over territorial claims in the South China Sea.