Formal:
* Il y a un silence. (There is a silence.) This is the most basic and literal translation.
* Le silence règne. (Silence reigns.) This implies a more profound or lasting silence.
Informal:
* C'est le calme plat. (It's dead quiet.) This emphasizes the complete absence of noise.
* Pas un bruit. (Not a sound.) This also implies a complete absence of noise.
* On entend pas un bruit. (You can't hear a sound.) This is a more colloquial way of saying "it's quiet."
Poetic:
* Le silence est profond. (The silence is deep.) This emphasizes the intensity of the silence.
* Le silence est lourd. (The silence is heavy.) This implies a sense of weight or pressure.
The best translation for you will depend on the specific context and the feeling you want to evoke.