The Monday meeting will focus on the Chinese e-commerce company's U.S. expansion plans, according to spokespeople for both Alibaba and Trump.
The meeting comes amid tensions between China and the incoming Trump administration. Trump has proposed steep tariffs on trade with China, and has incited political controversy over the U.S. relationship with Taiwan.
But Trump has also been critical of Amazon, which like Alibaba, offers cloud services and a marketplace for third-party sellers. Trump has said Amazon will have "such problems" during his presidency, because of their tax structure.
Ma told CNBC last year that he wasn't worried about anti-China sentiment on the presidential campaign trail.