A possibility of contract freedom principle use in atypical sphere torts is analyzed in this article. The analysis is made on the example of civil legislation of Ukraine in which contract freedom principle is one of the main principles of Civil law. The author researches a possibility of signing contracts by the participants of tort obligations as also as directions and boards of their possible agreement. The author made a conclusion, that parties of the tort obligation generally have a right to enter into the contracts about tort. A tortfeasor and a plaintiff can make an agreement about a method of the tortfeasor's liability as also as about a termination of tort obligation by other methods (not a fulfillment) any time. But multiple tortfeasors can make an agreement about a sharing a compensation between them just in cases, strictly pointed by law