1 The real or apparent conflict between one's perconflict of law(s) sonal interest in a matter and one's duty to another or to the public in general regarding the same matter. 2The real, apparent, or potential conflict between the duty owed to one in a matter and the duty owed to another regarding the same matter, especially if the person who owes the duty is a lawyer (such as one who represents two defendants in the same case). conflict of law(s) n. 1 A conflict between the laws of two or mo...