This petition was rejected

The Government e-Petitions Team gave the following reason:

We're not sure exactly what you'd like the Government or Parliament to do. We're not sure exactly what you mean by "Sack any mp who falls asleep on the job" or how you would like this to work.

You could start a new petition explaining clearly what you would like the Government or Parliament to do. For example, you could ask for the rules of the House of Commons to be changed, to introduce a penalty for MPs found to be sleeping in the House of Commons Chamber, if that's what you would like to happen.