The pair, who have kids Lily-Rose, 13, and son Jack, nine together, announced their split in June after months of speculation.
Depp splashed out on the Mediterranean-style home for Paradis and the kids through a trust, reported New York Daily News.
The five-bedroom 5,800-square-foot home features a wood-beamed ceiling, a pool and hot tub.
Paradis is believed to have embarked on a new romance with millionaire French businessman Guy-David Gharbi after first meeting on a flight from Los Angeles to Paris in May.
"The relationship coming to an end has been tough on both Johnny and Vanessa. What they care about more than anything is remaining a close family because their two kids are and always will be their main priority," a source said.
"But Vanessa and Guy-David have become close over the last few months and even though they are still taking things slowly, they are dating now. Guy-David's made his feelings clear for Vanessa but told her he's happy to give her all the time she needs," the source added.