Works by the two artists are part of the gallery's first exhibition this year, entitled "Rembrandt, Vermeer and the Dutch Golden Age: Masterpieces from The Leiden collection and the Musee du Louvre".
The exhibit, on display in the United Arab Emirates capital from 14 February to 18 May, is dedicated to the famed "fijnschilders" -- fine painters -- of the Netherlands.
"Rembrandt is a master of the Golden Age," museum head Manuel Rabate said.
"He's a universal genius, he's connected to the world."
The exhibition features 95 works, including Vermeer's "Young Woman Seated at a Virginal" alongside Rembrandt's "Portrait of a Man" and "Study of the Head and Clasped Hands of a Young Man as Christ in Prayer".
The museum has also acquired Rembrandt's "Head of a young man, with clasped hands: Study of the figure of Christ" as part of its permanent collection.
The Louvre Abu Dhabi was inaugurated with great pomp in November 2017 -- nearly five years behind schedule -- by French President Emmanuel Macron and Abu Dhabi's Crown Prince Mohammed bin Zayed Al-Nahyan.
It was marketed as "a universal museum" celebrating cultural exchange and tolerance.
The museum has reportedly cost the UAE around $1 billion, including upwards of $500 million to use France's "Louvre" brand.
Officials have not confirmed the price tag.