Hello,
What site it is? If is PokerStars ? On PokerStars correct results of tournament are supported. On other sites correct results are not supported. Tournament summaries support will be added for 888 and WPN in Hand2Note 4.
To have correct results for tournament of PokerStars:
1) Update Hand2Note and PokerStars to the latest versions:
Spoiler
Please make sure that you are using the latest Hand2Note version which is 3.3.1.32This option should be turned off to receive required room updates automatically:(In case if it was turned On , please turn it off and restart your Hand2Note)

If your Hand2Note version is older than 3.3.1.32 please use this guide to update your Hand2Note http://hand2note.com/Help/pages/Updating&OlderVersions/#current-version-updating
Please download latest PokerStars client and reinstall it.
2) Please configure properly autoimport settings for PokerStars (two folders should be added, responsilbe folder for tracking winnings is tournament summary folder)
Spoiler
Please first check if PS client is saving Hands and that autoimport folders set in Hand2Note Configuration->Autoimport settings are matching folders in PS client
Example of correct configuration for PS

If you are playing tournaments for PS you have to add two folders in total Hand history folder and tournament summaries folder

Once you have done this new results should be tracked properly.