Can I use Session history management?

Compatibility table for support of Session history management in desktop and mobile browsers.

Legend

Session history management

- CR

Method of manipulating the user's browser's session history in JavaScript using history.pushState, history.replaceState and the popstate event

IE

  1. 5.5
  2. 6
  3. 7
  4. 8
  5. 9
  6. 10
  7. 11

Firefox

  1. 2
  2. 3
  3. 3.5
  4. 3.6
  5. 4
  6. 5
  7. 6
  8. 7
  9. 8
  10. 9
  11. 10
  12. 11
  13. 12
  14. 13
  15. 14
  16. 15
  17. 16
  18. 17
  19. 18
  20. 19
  21. 20
  22. 21
  23. 22
  24. 23
  25. 24
  26. 25
  27. 26
  28. 27
  29. 28
  30. 29
  31. 30
  32. 31
  33. 32
  34. 33
  35. 34
  36. 35
  37. 36

Chrome

  1. 4
  2. 5
  3. 6
  4. 7
  5. 8
  6. 9
  7. 10
  8. 11
  9. 12
  10. 13
  11. 14
  12. 15
  13. 16
  14. 17
  15. 18
  16. 19
  17. 20
  18. 21
  19. 22
  20. 23
  21. 24
  22. 25
  23. 26
  24. 27
  25. 28
  26. 29
  27. 30
  28. 31
  29. 32
  30. 33
  31. 34
  32. 35
  33. 36
  34. 37
  35. 38
  36. 39
  37. 40
  38. 41

Safari

  1. 3.1
  2. 3.2
  3. 4
  4. 5
  5. 5.1
  6. 6
  7. 6.1
  8. 7
  9. 7.1
  10. 8

Opera

  1. 9
  2. 9.5-9.6
  3. 10.0-10.1
  4. 10.5
  5. 10.6
  6. 11
  7. 11.1
  8. 11.5
  9. 11.6
  10. 12
  11. 12.1
  12. 15
  13. 16
  14. 17
  15. 18
  16. 19
  17. 20
  18. 21
  19. 22
  20. 23
  21. 24
  22. 25
  23. 26
  24. 27

iOS Safari

  1. 3.2
  2. 4.0-4.1
  3. 4.2-4.3
  4. 5.0-5.1
  5. 6.0-6.1
  6. 7.0-7.1
  7. 8
  8. 8.1

Opera Mini

  1. 5.0-8.0

Android Browser

  1. 2.1
  2. 2.2
  3. 2.3
  4. 3
  5. 4
  6. 4.1
  7. 4.2-4.3
  8. 4.4
  9. 4.4.3-4.4.4
  10. 37

Blackberry Browser

  1. 7
  2. 10

Opera Mobile

  1. 10
  2. 11
  3. 11.1
  4. 11.5
  5. 12
  6. 12.1
  7. 24

Chrome for Android

  1. 38

Firefox for Android

  1. 32

IE Mobile

  1. 10

UC Browser for Android

  1. 9.9

Older iOS versions and Android 4.0.4 claim support, but implementation is too buggy to be useful.

Resources:
WebPlatform Docs
Demo page
Introduction to history management
MDN article
History.js polyfill
has.js test

*Global usage share statistics based on data from StatCounter GlobalStats for October, 2014. See the browser usage table for usage by browser version.