Parties to a lawsuit generally have an absolute right to nonsuit (dismiss) their own claims for relief at any time during the litigation until they have introduced all evidence other than rebuttal evidence at trial.
In Oklahoma, parties to a lawsuit do indeed have the right to voluntarily dismiss their own claims, which is often referred to as a 'nonsuit.' This right is typically absolute and can be exercised at any point during the litigation process, as long as the party has not rested their case by introducing all of their evidence, except for rebuttal evidence, at trial. This means that a plaintiff can decide to dismiss their case without prejudice (meaning they could potentially refile the case later) before they reach the point of no return in presenting their evidence at trial. However, if the defendant has already filed a counterclaim, the case may not be dismissed over the defendant's objection unless the counterclaim can remain pending for independent adjudication. The specific rules and procedures for taking a nonsuit are outlined in the Oklahoma statutes and the Oklahoma Rules of Civil Procedure.