That's all from me. Good night.
- Boyata scores on his debut for Celtic
- Johansen doubles the lead after the break
- Griffiths penalty kick saved late on
- Champions League qualifying
- Second qualifying round first leg
Before then, there is more European action tomorrow evening with Aberdeen and Inverness Caledonian Thistle seeking progress in the Europa League qualifiers. Please join us then.
Although the second leg of this tie does not take place until next week, the draw for the third qualifying round takes place this coming Friday.
Joe in Fife: "Celtic missed another squabbled penalty last season as well - James Forest. Embarrassing and disrespectful to opposition - deserves to miss."
Gary Menzies: "Will take that for a start to the season. Gutted to miss the pen though #Celtic #bbcscotfootball"
Celtic manager Ronny Deila
"We created a lot of chances, we should've score more goals but 2-0 is a good result."
Anonymous: "Fantastic result for Celtic Now we just need to park the bus in the 2nd leg and we'll be through"
A decent win for Celtic but it could have been even better had Leigh Griffiths not squandered a late penalty. Ronny Deila's side take a lead over to Iceland for next week's return leg courtesy of Dedryck Boyata and Stefan Johansen.
James Marshall: "Celtic will get away with it with this Icelandic team. But still worry if they meet a team from a decent League who have a few league games under their belt. Summer football is the answer in Scotland."
Stuart Armstrong and Stefan Johansen combine again with the latter forcing another fine save from Stjarnan stopper Gunnar Neilsen.
Celtic defender Efe Ambrose is booked after taking down Jeppe Hansen.
Rory, Lanark: "A third would surely kill the tie off."
Easty: "We should be 5 up by now"
A final change for Celtic and it could be an injury concern as Dedryck Boyata goes down off the ball and makes way for Efe Ambrose.
Leigh Griffiths insists on taking the penalty after taking the ball off Stefan Johansen and the striker's effort is saved by Gunnar Neilsen.
Stefan Johansen is upended in the box and Celtic have a spot-kick.
Raj: "1 more goal please, then game over"
Benny: "Hopefully get a couple more to kill the tie then we can rotate the squad for the 2nd leg"
Anthony Stokes replaces Nadir Ciftci in Celtic's second change.
Nadir Ciftci heads over the Stjarnan crossbar again. The Celtic debutant is desperate to net his first goal for the club.
Anonymous: "Would Celtic go through with Lech Poznan with their current form? Tough question."
James Forrest makes way for Leigh Griffiths in Celtic's first change.
Stuart Armstrong drives the ball across the Stjarnan area and Stefan Johansen makes a run from deep to finish coolly.
Horour Arnason lifts a shot over the Celtic crossbar.
Another fine Stefan Johansen delivery is met by Nadir Ciftci but the forward is foiled by Stjarnan goalkeeper Gunnar Nielsen.
Chance for Stjarnan as Jeppe Hansen fires across the face of the Celtic goal. Let off for the hosts.
Celtic striker Nadir Ciftci heads a James Forrest cross over early in the second half.
Stjarnan begin the second half.
Can Celtic add to their lead in the second half and build up a comfortable advantage for the return leg?
Celtic have a lead at the midway stage of the first leg. A goal they deserve but took some time to get with Dedryck Boyata nodding in shortly before the interval.
Celtic keep up the pressure and James Forrest's shot is deflected wide.
Former Celtic goalkeeper Pat Bonner on Radio Scotland
"Right what Celtic needed before half-time."
But Dedryck Boyata ends the impasse with a headed goal on his debut from Stefan Johansen's corner.
Some groans of frustration from the home crowd as half-time approaches.
Nadir Ciftci boots the post in frustration after his header drifts wide. Another decent chance for Celtic.