Welcome to the Apple Community.
First check that all your settings are correct, that notes syncing (mail and notes on a computer) is checked on all devices (system preferences > iCloud on a mac and settings > iCloud on a iPhone, iPad or iPod).
Make sure the notes you are adding are added to your 'iCloud' account and not an 'On My Mac', 'On My Phone' or other non iCloud account (you can do this by checking in accounts on an iOS device, or the left side panel in mail on a computer), non iCloud notes will not sync.
If you are sure that everything is set up correctly and your notes are in the iCloud group, you might try unchecking notes syncing (mail and notes on a computer) in the iCloud settings, restarting your device and then re-enabling notes syncing.
yes this like to somehow solve the problem in sync and resync notes by on and off in icloud and rebooting... however updates on the following day was not the case. it was same issue again. not syncing... i dont want to turn off and on notes in icloud and reboot just to sync it to i cloud... another approach may be?