The service launched on December 1 with sailings to Koh Samui and Cambodia but will cease on January 1.
The Genting Hong Kong-owned line said the SuperStar Gemini ship will instead sail from Taiwan on charter trips.
The Gulf of Thailand cruises included four-day voyages to Sihanoukville in Cambodia and Koh Samui, along with a two-night sailing to Koh Kong in Cambodia.
Star Cruises told the Bangkok Post, all customers booked on cruises out of Laem Chabang will receive a full refund, or be reassigned on to cruises out of Phuket, Hong Kong or Singapore.
The company didn't say if it would return to Laem Chabang at a later date.
The SuperStar Gemini was scheduled to be homeported there until April next year.