He has reached a career-high ranking point of 914.
Cummins was excellent in the second Ashes Test as well and picked up six wickets in the game.
He now has 107 career Test scalps.
The right-arm pacer leads second-placed Kagiso Rabada (851) by a whopping tally.
Fast bowler Archer debuts in at number 83
Among bowlers, England speedster Jofra Archer, who had match figures of 5/91 in his debut Test at Lord's, has broken through in the rankings to 83rd. Left-arm spinner Jack Leach, who was playing only his sixth Test, climbed eight spots to be number 40.