The swashbuckling left-hander scored a 110-ball 112 to lift his team after they were sent into bat by Pakistan on a flat pitch.
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The 30-year-old Sangakkara added 93 for the fourth wicket with Chamara Silva (46) and 88 for the third with Chamara Kapugedera (43) to boost Sri Lanka after they were derailed by paceman Sohail Tanveer, who finished with a career-best 5-48.
Sangakkara, who hit 101 against Bangladesh in the first round in Lahore, took 56 balls to reach his half-century but eventually opened up, hitting debutant leg-spinner Mansoor Amjad for a six on his way to his ninth one-day hundred.
It took him 96 balls to reach the century, his second against Pakistan.
In all Sangakkara hit ten boundaries and one six.
Pakistan, who were forced to bring in paceman Wahab Riaz after spearhead Umar Gul was ruled out of the Asia Cup due to injury, made early inroads through Tanveer.
He trapped Sanath Jayasuriya (eight) and then had Sri Lankan skipper Mahela Jayawardene (29) caught