General suppression:
* Censor
* Conceal
* H Hush up
* Keep under wraps
* Quell
* Silence
* Stifle
* Subdue
* Withhold
Suppressing emotions:
* Bottle up
* Hold back
* Repress
* Conceal
* Mask
Suppressing information:
* Censor
* Edit
* Redact
* Withhold
* Black out
Suppressing a rebellion/uprising:
* Crush
* Quell
* Subdue
* Put down
Suppressing a cough/sneeze:
* Muzzle
* Hold back
* Cover
* Muffled
Remember to choose the best synonym based on the specific context of your sentence.