An own goal from Kaunas defender Gvydis was the only goal of the night, which brought a healthy 40,000+ attendance.
The tie was settled last week, with Celtic winniome, and tonight was simply about getting the job done.
Celtic now face MTK Hungarias, who defeated Helsinki 3-2 on aggregate.
Celtic:
Douglas
Mjallby
Balde
Valgaeren
Sylla (Lennon 58)
Lambert
Thompson (Wallace 82)
Miller
Smith
Sutton
Maloney (Beattie 58)
Celtic-Mad Man of the Match: Alan Thompson