Sri Lanka survived some nervous moments at the closing stages of their second innings before being all out for 483 to set Pakistan a victory target of 170 from 21 overs.
Pakistan decided against the chase and reached 21 for one, with the loss of double centurion in first innings, Taufeeq Umar, when stumps were drawn.
Sangakkara (211) and Jayawardene (120), both unbeaten overnight, batted resolutely to add 201 for the sixth-wicket as Pakistan were left to rue Friday's dropped chances.
Stylish left-hander Sangakkara, who was dropped on 56 by Younis Khan off Mohammad Hafeez, got past the 200-run mark with a glance to the fine-leg boundary.
The former Sri Lanka captain, who also survived a run-out chance on 190, hit 18 boundaries during his 431-ball knock, before he fell lbw in the last over before tea to give part-time legspinner Azhar Ali his first Test wicket.
score board
SRI LANKA (I Innings): 197
PAKISTAN (I Innings): 511/6 decl
SRI LANKA (II Innings, O/n: 298/5):
Paranavitana lbw Gul 0
Thirimanne (run out) 68
Sangakkara lbw Ali 211
M Jayawardene b Ajmal 4
Dilshan b Junaid 9
Mathews lbw Gul 22
P J’wdene c Akmal b Cheema 120
Herath (not out) 23
Welegedara c A Akmal b Gul 8
Lakmal b Gul 0
Pradeep (run out) 0
Extras (B-4, LB-11, NB-3) 18
Total (all out, 168 overs) 483
Fall of wickets: 1-0, 2-153, 3-160, 4-191, 5-233, 6-434, 7-466, 8-477, 9-481.
Bowling: Gul 25-3-64-4, Cheema 32-1-108-1, Ajmal 55-8-167-1, Junaid 31-6-83-1, Hafeez 22-4-42-0, Ali 3-1-4-1
PAKISTAN (II Innings):
Hafeez (not out) 12
Umar lbw Welegedara 2
Ali (not out) 4
Extras (NB-3) 3
Total (for 1 wkt, 10 overs) 21
Fall of wicket: 1-7.
Bowling: Welegedara 5-2-9-1, Lakmal 2-1-1-0, Herath 2-0-8-0, Pradeep 1-0-3-0.
