Both Na and Campbell finished their 36 holes on 144, earning places in the starting field with six others who successfully negotiated qualifying at Buckinghamshire Golf Club.
Both Na and Campbell have a month to prepare for the Open which runs from June 19-22 in the week immediately following the U.S Men`s Open.
The championships are being played back to back at the same venue for the first time in the championships` history.
Karrie Webb and Katherine Kirk are the only other Australians already in the field. Webb won the title in 2000 and again in 2001.