The governor, on April 27, 1951, signed an act to change the name of Honolulu Airport to Honolulu International Airport.
There was still much construction to do, however, and the new terminal and facilities took a few years to develop, but several airlines, including Pan American Airways and United Airlines inaugurated jet service between the mainland United States and Hawaii in 1959.
Eventually, the Okolehao Bar was added to entertain guests. This was probably when the new John Rodgers Terminal was dedicated on August 22, 1962, during the annual conference of the Airport Operators Council, held in Honolulu August 19-25, 1962. The entrance to the bar can be seen in the press photo below.
This bar functioned through the 60s and into the 70s.
Eventually, in 2017, they changed the name of the Honolulu International Airport to the Daniel K. Inouye International Airport.