From the Omaha Municipal Code...
Sec. 20-206. - Carrying weapons.
(a)
As provided in section 20-192, the carrying of a concealed weapon is expressly forbidden.
(b)
In all other cases, it shall be unlawful for a person to go armed with a loaded concealable firearm of any kind or to knowingly carry or transport a concealable firearm in a motor vehicle, provided, however, that this section shall not apply to the following persons:
(1)
Persons lawfully entitled to possess a firearm while upon the premises where he or she regularly resides or is regularly employed.
(2)
Peace officers.
(3)
Members of the armed forces of the United States, the National Guard, or the Reserve Officer Training Corps when on duty or training.
(4)
Persons who for any lawful purpose carry an unloaded concealable firearm inside a closed and fastened container or securely wrapped package which is too large to be concealed on the person.
(5)
Persons who for any lawful purpose carry or transport an unloaded concealable firearm in a vehicle inside a closed and fastened container or securely wrapped package which is too large to be concealed on the person or inside a cargo or luggage compartment where the concealable firearm will not be readily accessible to any person riding in the vehicle or common carrier.
(6)
Persons in or upon a shooting range or the regular business premises of a federally and city licensed firearms dealer.
(7)
Persons engaged in a generally recognized course of instruction in the use of firearms, such as hunter safety instructions or instruction for the purpose of obtaining an identification card showing satisfactory completion of the firearm training program as set forth in section 20-207
(8)
Persons who have verified to the city that they are entitled to a waiver of the firearm training program as set forth in section 20-207(k).
(9)
Persons who have obtained and display an identification card showing satisfactory completion of the firearm training program as set forth in section 20-207
(10)
Persons possessing a valid permit to carry a concealed firearm under Nebraska Law.
The emphasis is mine. The easiest way to open carry in Omaha is to have your CHP. I do it occasionally and haven't ever been hassled.