Website Requests slow at night time


I have an e-commerce website that is hosted in a VPS. The website is slow at night time ( only between 19:00 to 01:00 ± ) .

My first guess was that we were having too much traffic, but the server its not under any load whatsoever and the website visitors are almost the same as in the day time.

We have a VPS and the other domain that we have in that VPS is responding fast. The only difference is that the other domain isn’t connected to cloudflare.

In the day time the requests take between 20ms to 120ms;
At the night time the requests take between 250ms to 800ms;

I even tested blank .html file and its taking 600 ms to respond.

How can i find how what the problem is ?
Its there a problem with cloudflare ?

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