The 40-year-old and her fashion designer boyfriend, who have a 14-month-old son Arthur together, allegedly parted ways recently because they couldn't stop fighting, reported Us magazine.
"They were fighting non-stop," a source said.
Blair and Arthur have now moved into a temporary apartment
in Los Angeles' Venice Beach.
However, the break-up is said to be amicable with the pair staying close for the sake of their son.
"Jason spent some quality time with Arthur recently. He met Selma at a restaurant, then took Arthur for a walk on the beach," the source added.