The 20-year-old Pole, who won the title at Roland Garros in 2020, is over 2,000 points ahead of defending French Open champion Barbora Krejcikova in the new WTA rankings.
Tunisia's Madrid Open champion Ons Jabeur, who lost to Swiatek in the Italian Open final, climbed to a career-high sixth.
Coco Gauff dropped three places to 18th while former number one Simona Halep returned to the top 20 at 19.
Naomi Osaka and Serena Williams remain out of the WTA top 20 rankings.
WTA TOP 20 RANKINGS
1 ‑ Iga Swiatek (POL) 7 061
2. Barbora Krejcikova (CZE) 4 911
3. Paula Badosa (ESP) 4 770
4. Maria Sakkari (GRE) 4 726
5. Anett Kontaveit (EST) 4 446
6. Ons Jabeur (TUN) 4 380 (+1)
7. Aryna Sabalenka 3 966 (+1)
8. Karolina Pliskova (CZE) 3 568 (-2)
9. Danielle Collins (USA) 3 315
10. Garbine Muguruza (ESP) 3 031
11. Jessica Pegula (USA) 2 955
12. Emma Raducanu (GBR) 2 910
13. Jelena Ostapenko (LAT) 2 536
14. Belinda Bencic (SUI) 2 525
15. Victoria Azarenka 2 440 (+1)
16. Elena Rybakina (KAZ) 2 420 (+1)
17. Leylah Fernandez (CAN) 2 250 (+1)
18. Coco Gauff (USA) 2 165 (-3)
19. Simona Halep (ROM) 2 126 (+2)
20. Daria Kasatkina (RUS) 2 115 (+3)
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