Bridge and Mini-bridge are installed as a part of Photoshop CS6. Do you get any error message while launching mini-bridge? Which OS do you have?
Try rebooting the machine and check the same.
Try resetting the PS CS6 preferences and check if its an issue with corrupt preferences : http://forums.adobe.com/thread/375776
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[Moved the discussion to Photoshop Forum]
The old toolbar with mini-bridge icon has been removed from CS6. You can open it in File/Browse in mini-bridge.
It can also be toggled by selecting Window>Extension>Mini-Bridge