Hi Dharani-
When you say, “WordPress suspends it,” do you mean that the plugin remains inactive after you activate it? If that’s the case, it’s usually because your web host does not allow W3 Total Cache to be activated on their server.
This is sometimes the case with managed WordPress hosting solutions that already have built-in caching, notably GoDaddy’s Managed WordPress product.
If that’s not the case, can you enable the WordPress Debug Log and try to activate the plugin again, and let us know what errors appear in your log?