He reached the number-one spot after bowling Pakistan to a 75-run victory over England in the first Test at Lord's on Sunday.
Yasir, who returned with figures of six for 72 and four for 69, has leapfrogged India spinner Ravichandran Ashwin and England's fast bowling pair of James Anderson (who missed the Test due to an injury) and Stuart Broad into the top spot after his achievement earned him 32 points.
Yasir won the player of the match award in his first Test outside Asia and now leads Ashwin by seven points and Anderson by 10 points.
The 30-year-old looks strong to gain further points and create more daylight between him and rest of the field as he is still in the qualification period. A bowler qualifies for a full rating after he has taken 100 wickets, while Yasir has so far claimed 86 wickets in 13 Tests.
Pakistan's Rahat Ali, who took four wickets in the match, has also achieved a career-high ranking of 32nd after jumping three places, while Mohammad Amir has returned to the rankings just inside the top 100 in 93rd position.
There was more good news for Pakistan when its middle-order batsman Asad Shafiq also achieved a career-high ranking in the batsmen rankings.
Asad scored 73 and 49 for which he has been rewarded with a jump of two places that has put him in 11th spot. Asad now has a top 10 place firmly within his sights as he trails 10th ranked Sri Lanka captain Angelo Mathews by seven points.
Pakistan captain Mishab-ul-Haq, who scored his 10th Test century while scoring 114 in the first innings, has moved up one place to ninth, while wicketkeeper/batsman Sarfraz Ahmed has gained two places and is now in 17th position.
For England, Jonny Bairstow and Gary Ballance have improved their rankings. Bairstow is now on a career-high 16th position after moving up two places, while Ballance is in 40th position having risen two places.
