She has royal links through her mother Azza al-Sudairi, who comes from the same maternal family of Saudi King Salman.
"I met Rajwa through a friend from school," Hussein said at a recent conference in Jordan.
"I consider myself lucky because you do not meet someone like Rajwa every day," he added, while she was sitting among the audience.
Social media users have highlighted a resemblance between the bride and Queen Rania.
At a dinner henna party last week, Rania said Rajwa was "the perfect answer to all [her] prayers."
The engagement took place in August with a family gathering at Rajwa's home in Saudi Arabia.
Since 2017, Hussein has been appearing more intensely on the international stage and accompanied his father on the majority of his official engagements. He is named after his grandfather, who died in 1999, but remains popular and respected in the Hashemite Kingdom.