The easiest way to tame wolves is to make a pit up north with your pickaxe. The pit must be deep enough so you have to jump to get out. You can stand in the pit's "wall" until the wolves that are aggroed to you attack you enough so they fall in the pit.

After that you can feed them every kind raw meat (lizard or regular raw meat)

One & two star wolves : Here's the tricky part. Those kind of wolves only spawn during night and want to de-spawn during the day. Here's what you need to do to tame one of those. (I would suggest going straight away for the two stars for it can be a long process.)

Before you start taming the star-wolf, you need to prepare. I would suggest digging enough pit in the mountain of your choice, where you know there's gonna be 2-star wolf spawn.

Also, very important, you must bring a regular wolf that you leave in a cabin either on the mountain or very close to it.

Once everything is ready and you are stacked on raw meat, you go in the mountain at night until you find a two star wolf (they hit hard be aware). You aggro the wolf to your pit until he falls in then you get out (make sure you have enough stamina to get out). Then you throw him some raw meat and you wait using the sneak method told earlier.

Make sure you don't go too far (thus the sneak method) so he doesn't de-spawn but just far enough so he stops aggroing to you.

Then you wait, and you're gonna have to wait a lot since the taming process doesn't work during the daytime but you cant leave his sight / vicinity. It's gonna take about 3 to 4 nights to tame.

Once it's tame, you should move the star-wolf to your cabin, but you should move him only during night time or he's gonna run away. If the taming process ends at the end of a night, I would recommend to wait until the beginning of the next night to move the wolf.

You then bring the wolf to your cabin where your regular normal wolf awaits. You feed them both raw meat until they are happy and start making babies.

Once again, the star-wolf wont eat or make babies during the day.

Once the babies star wolves are born, those will work normally. You can stay there and make some backup ones to be safe. Just wait until one or more babies have grown up and bring them back to your base.

Since animals can't go through portals you're gonna have to walk back to your base. If you have to take a boat back, you can build a small dock above your boat and push the wolves inside. Note that they might aggro to enemies on shore (or sea serpent) and kind of fall into the ocean, but they can swim forever if you have that patience.

The babies coming out of a parent will always be the same as the parent. So if you're two star-wolves has a babies with a regular wolf, you're gonna have a 2 star wolf cub + a regular wolf cub.

I personally killed (nearly) all my regular wolf to only make 2 star wolves cub. I kept one in my bedroom as a souvenir. At this point, it's a personal choice.

Taming & Breeding Valheim Animals 101