The latest rankings also brought bad news for England batsmen.
England opener Alastair Cook and Ian Bell, who entered in third and fourth positions respectively, have slipped two and three positions respectively, while Kevin Pietersen has fallen out of the top 10.
Pietersen, who scored two and nought in the Dubai Test, has lost six places and is now in 16th position while England captain Andrew Strauss has also dropped six places to 34th spot.
The only England batsmen to make any upward movements are wicketkeeper Matt Prior in 18th (up by one) and Swann in 64th (up by 11).
In contrast, the Pakistan batsmen have made positive gains with Younus Khan in fourth (up by two), captain Misbah-ul-Haq in 14th (up by three), Mohammad Hafeez in 30th (up by 15), Taufeeq Umar in 32nd (up by six) and wicketkeeper Adnan Akmal in 70th (up by 23).
Top 10 Test bowlers
1. 896 Dale Steyn SA
2. 799 James Anderson ENG
3. 762 Saeed Ajmal PAK
4. 752 Graeme Swann ENG
5. 737 Stuart Broad ENG
6. 736 Peter Siddle AUS
7. 718 Ben Hilfenhaus AUS
8. 715 Morne Morkel SA
9. 705 Zaheer Khan IND
10. 678 Shakib Al Hasan BAN