Princess Haya, 45, is said to have fled to London after leaving the billionaire, Mirror Online reports.
The Sheik, 69, vented fury in an Instagram post in which he accused his wife of “betrayal”.
He wrote: “Go to whom you get busy with!!!!!?”
The princess also allegedly took £31million and her daughter Al Jalila, 11, and son Zayed, seven, according to The Sun.
“Whenever someone applies for political asylum, obviously, it is because their lives are in danger”
The title added that the princess, who attended boarding schools in the UK and is an Oxford graduate, had applied for asylum in Germany.
Princess Haya allegedly told pals she “didn’t trust UK authorities to hand her back” and so had chosen Germany.
The princess has reportedly been aided by a German diplomat.
One of Sheikh Mohammed bin Rashid Al Maktoum’s daughter attempted to flee the UAE last year.
Princess Latifa bint Mohammed Maktoum, 33, was captured off the Indian coast.
Human rights campaigners have previously claimed she has been held against her will in Dubai, but the UAE later posted pictures of the princess to disprove “false allegations” .
Radha Stirling, chief executive of watchdog Detained in Dubai, told Mirror Online: “Whenever someone applies for political asylum, obviously, it is because their lives are in danger, and because they have suffered severe abuses and violations of their human rights.
“We already know that Princess Latifa, Sheikh Mohammed’s daughter, fled the UAE seeking asylum and alleging unspeakable abuse at the hands of her father.
“Now, it seems, Princess Haya, Sheikh Mohammed’s wife, has also fled the country and sought refuge in Germany.”