_Quick Review
Alan Thompson tapped a corner to Stilian Petrov and slack marking allowed Sutton to slip between Steven Pressley and Andy Webster - and in front of goalkeeper Craig Gordon - to power his header home from six yards.
Hartley sent Mark Burchill clear down the wing and the former Celtic striker's cross was touched on by the midfielder, but Joe Hamill's strike from the edge of the box struck Valgaeren and was cleared.
There were few chances in a scrappy and lacklustre first half.
But Hartson was inches away from turning the ball into the net from close range after a Neil Lennon pass during a penalty-box scramble after the break.
Bellamy turned sharply in the box and his shot took a slight deflection off Andy Webster and slipped through the arms of Hearts' young Scotland goalkeeper.
A Bellamy cross struck Hearts' crossbar, Stanislav Varga had a header cleared off the line by Lee Wallace and Alan Thompson forced Gordon into a close-range save as Celtic threatened to run away with the game.
Jamie McAllister's excellent through ball found Cesnauskis inside the box and the midfielder lofted the ball over keeper David Marshall and into the far corner of the net with a deft chip from an acute angle.
Trivia
Hearts fans ensured a stormy opening by jeering during the minute's silence in memory of the Pope.
Early goals in both halves eased Celtic into the Scottish Cup final.
Sutton came into the Celtic starting line-up after recovering from injury, replacing Aiden McGeady in midfield.
Ex-Celt, Mark Burchill, lined up for Hearts
Teams
Hearts:-Gordon, Neilson (Cesnauskis 45),
Pressley, Webster, McAllister, MacFarlane (Wyness 77),
Hartley, Hamill (Kizys 58), Wallace,
Burchill, Miller.
Subs Not Used:- Moilanen, Berra.
Goal:- Cesnauskis 60.
Celtic:-Marshall,
Varga,
Balde,
Valgaeren,
McNamara,
Lennon,
Petrov,
Sutton,
Thompson,
Bellamy,
Hartson (
McGeady 72).
Subs Not Used:- Douglas,
Henchoz,
Lambert,
Maloney.
Goals:- Sutton 3, Bellamy 49.
Booked:- McGeady.
Att:- 38,505
Ref:- S Dougal.
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