The two Championship teams were locked in a bitter feud which was holding back the Rams from securing new ownership.
Boro owner Steve Gibson was chasing £45million over the loss of a play-off spot and the chance of promotion.
That compensation claim - as well as £6m from Wycombe - was threatening Derby's existence as a football club with potential new owners unable to bid until the legal proceedings are closed.
A Derby statement said: "As a direct result of private conversations between Mel Morris and Steve Gibson both parties are pleased to announce that they have reached an accord on a resolution of the claims by Middlesbrough Football Club against Derby County Football Club, and others.
"The basis of that accord will remain private but details have been shared with Quantuma the Administrators for Derby County who will urgently prepare the legal documentation to ratify the accord.
"The claim has clearly been the source of much concern to both sets of fans, and especially those of Derby County.
"The fact that a resolution has been discussed and agreed should be comforting to both sets of supporters. Details of the accord shall remain private.
"However, it is important for all interested parties, including potential bidders, to be confident that the Middlesbrough claim will not be an impediment to Derby County progressing its plans for a sale of the club."
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!