Can I block internet on my child device?

On iOS devices, yes, you can completely block the Internet connection on your child's device when it is in Child mode (Premium plan).

On Android devices, you can block internet access, but some apps will still work when the device is in Child mode (Premium plan).

In order to block Internet access on your child's device: open Kidslox > choose the device on which you want the Internet blocked > open the Apps tab > Web Filtering >  Internet access > mark it with the lock sign.

Now whenever the device is in Child mode, it will have no access to the Internet (on Android Kidslox will still continue to work).