You can not make your Moshi Monsters profile private.
You'll find the link for Moshi Monsters in my profile.
Look at the list on the left when you are in your room at Moshi Monsters. The link to your profile is at the top.
Go home and on the left side above your monsters mood, there is a tab saying "VIEW PROFILE".
It is a thing where you put your monsters fave things and when people click on you they usually go up to the profile.
There is a button that says "View Profile" where it shows your monsters mood, health, and happiness. Click on it and you can fill your profile in.
When you are in your monsters room click on 'View Profile' to the left of the screen, just above where your monsters mood is displayed.
When your in your house on Moshi Monsters click on View Profile
You can get to your Moshi Monsters bio (or profile) by clicking on the view profile button to the left of the screen when you are in your monsters room. The button is located just above the mood.
When you are in your monsters room click on the View Profile button, just above where your mood is shown, and you'll be able to edit your profile.
When you are in your room, above the Mood icon, it says view profile.
When you are in your monsters room click on the View Profile button, just above where your mood is shown, and you'll be able to edit your profile.