Depp took action against the company in 2017 claiming $25m (£20m) over their handling of his affairs, which he said left him more than $40m (£31m) in debt.
The Management Group then counter-sued, asserting that the actor had been responsible for his own money worries due to his $2m-a-month lifestyle.
A planned trial set for 15 August will not now go ahead.
No details have been given of the settlement but a spokesman for Depp said the actor was "pleased" with the outcome.