The 32-year-old became the eighth Pakistan batsman to reach the milestone in his 61st Test, when he took a single to reach a personal score of 32.
Ali made his Test debut against Australia at Lord's in Pakistan's neutral venue series in England in 2010 and has since been a consistent performer with the bat.
He became the first century maker in a day-night Test during his epic triple hundred against the West Indies in Dubai last year.
He scored 1198 runs in 11 Tests in 2016, also including a fighting double hundred against Australia at Melbourne.
Younis Khan is the leading Test run-getter for Pakistan, with 10,099 runs in 118 Tests.
Here is the list of Pakistan batsmen who scored 5,000 or more runs in Test cricket (under Test and runs)
Younis Khan 118 10,099
Javed Miandad 124 8832
Inzamam-ul-Haq 119 8829
Mohammad Yousuf 90 7530
Salim Malik 103 5768
Misbah-ul-Haq 75 5222
Zaheer Abbas 78 5062
Azhar Ali 61 5,000
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