Individuals with hunting licenses may

Owning or possessing a short-barreled shotgun or rifle is illegal and a felony under state law, unless the short barreled firearm is registered under the National Firearms Act. Owning or possessing a fully automatic firearm is not illegal under state law, but is still illegal under federal law unless the automatic firearm is registered under the National Firearms Act. Local and State authorities are not obligated to enforce federal firearms law or notify federal authorities of federal firearms law violations, however they may, or may not, choose to do so.
Carrying Firearms in Public

Carrying a handgun in public circumstances or on public land requires a valid handgun carry permit, issued by the Oklahoma State Bureau of Investigation. Individuals must pass an extensive background check, meet certain requirements, be at least 21 years of age, and pass a firearms handling and safety course to be issued a permit.[4]
Restrictions on Carrying Handguns

Individuals possessing handgun carry permits may not carry handguns firearms of greater than .45 caliber. Individuals with handgun carry permits may not carry in an establishment whose primary purpose is the serving of alcoholic beverages. Handgun carry permit holders may not consume alcoholic beverages while carrying. Doing so will result in revocation of carry permit and possible criminal charges. Carry with permit is allowed in an establishment that serves alcoholic beverages, (such as a restaurant that serves alcoholic beverages) as long as that is not the primary purpose of said establishment. Handgun carry permit holders cannot carry into any sports arena during a professional sporting event, in an area or building where pari-mutuel wagering is authorized (such as a casino), cannot carry in schools nor in any government building.

Handgun carry permit holders must have their license on their person while they are carrying.
Penalties for Carrying Without Permit

Carrying a firearm in public, loaded or unloaded, without a permit is generally illegal and a misdemeanor under state law. Penalties for a first time offense are a maximum of 30 days in jail, confiscation of the firearm(s) illegally carried, and a $250 fine. Repeat offenses may be punished by up to 90 days in jail, with an increased fine.
Handgun Carry Reciprocity

Oklahoma recognizes and legally respects all and any out of state handgun carry permits, even if the issuing state does not recognize an Oklahoma carry permit.

Oklahoma §21-1290.26. reads "The State of Oklahoma hereby recognizes any valid concealed or unconcealed carry weapons permit or license issued by another state. Any person entering this state in possession of a firearm authorized for concealed or unconcealed carry upon the authority and license of another state is authorized to continue to carry a concealed or unconcealed firearm and license in this state; provided the license from the other state remains valid. The firearm must either be carried unconcealed and in plain view or fully concealed from detection and view, and upon coming in contact with any peace officer of this state, the person must disclose the fact that he or she is in possession of a concealed or unconcealed firearm pursuant to a valid concealed or unconcealed carry weapons permit or license issued in another state."
Transporting Firearms

Individuals with hunting licenses may open carry loaded long arms and handguns when hunting during hunting season. Outside of this and a few other limited exceptions, Open Carry of handguns in a public setting requires a valid carry permit. Carry of unloaded, cased firearms without a permit is allowed while on foot, just as it is allowed while traveling in a vehicle. Firearms that are not handguns, (long arms) carried by pedestrians generally must be both completely unloaded and cased.

However, any person eligible to legally possess firearms may openly carry unloaded firearms that are not cased specifically "When going to or from the person's private residence or vehicle or a vehicle in which the person is riding as a passenger to a place designated or authorized for firearms repairs or reconditioning, or for firearms trade, sale, or barter, or gunsmith, or hunting animals or fowl, or hunter safety course, or target shooting, or skeet or trap shooting or any recognized firearms activity or event and while in such places". Only under these circumstances may individuals carry unloaded firearms publicly that are not cased.