Taming your first monster isn't too hard. First you will need to use the Order Symbol to build a Monster barn. Until you have a barn, no monsters can be caught.
This can be purchased within the first few days of the game so don't worry about having to wait to long.

To tame a new best friend, you must first give it a present. You can do this the same way you do the villagers, by holding the gift and interacting with the monster.
When you gift a monster an item, a bubble will appear above its head. The bubble will either expand into a heart, meaning you’ve tamed it, or a skull and crossbones, which means your attempt failed.

Brushing a monster or hitting it with a love affinity weapon will also boost the chance that the taming will work.
You can brush a monster up to 15 times; but be careful because the monster will still attack you even with the free spa service >:(

Most monsties have a preferred type of present, but then again who doesn't.
Common monsters can be tamed with any item regardless of preference, even a weed on the ground has a chance of getting that wolf on your side!
Boss monsters however, (Yes you can tame bosses) will only become tames with their very specific, and usually rare favourite items.

The higher the monster's level relative to your character, the less likely it is to tame. And supposedly the opposite is also valid.
Once tamed monsters will automatically be added to your party and a quick chat with them can send them immediately back to the barn.

Airror



Ancient Bone



Ant



Ant Queen


Aquameleon



Arch-Daemon



Armed Ghost



Armored Tank+



Baal



Beetle



Big Duck



Big Muck



Black Dragon



Blackbird



Blood Panther



Blue



Blue Dragon



Buffaloo



Buffamoo

Captain Goblin



Chipsqueek



Cluckadoodle



Daemon



Dark Fairy



Dark Slime



Death Fungus



Death Orc



Death Stalker



Duck



Elefun



Elemental Emperor



Emperor Penguin



Fairy



Faust



Fiergaenger



Flare Mage



Flower Blossom

Flower Crystal



Flower Lilly



Flower Lion



Fortoise



Furpy



Gaias



Gangster Goblin



Ghost



Ghost Ray



Gigantes



Gobble Box



Goblin


Goblin Archer





Goblin Don



Goblin Pirate



Goblin Sniper



Golem



Green



Green Dragon

Hammer Troll



Heaven's Scissors



Hell Spider



Heracles



High Ogre Viking



High Orc



Hobgoblin



Hornet



Hornet Queen



Hover Soldier



Hover Warrior



Hunter Wolf



Ice Wizard



Ignis



Killer Ant



King Bee



King Wooly



Leaf Ball



Leoplicant

Little Dragon



Little Emperor



Little Golem



Little Mage



Little Wizard



Magnuto



Malm Tiger



Mamadoodle



Mammoo



Master Giant



Master Troll



Mineral Squeek



Mino



Minotaur



Minotaur King



Monster Box



Nappie



Necro



Ogre Viking



Onion Ghost

Onionger



Orc



Orc Archer



Orc Hunter



Orc Viking



Palm Cat



Pepper Ghost



Pink Dragon



Planchoa



Pomme Pomme



Rafflesia



Ragnarok



Red



Red Dragon



Rider Orc



Sano



Scorpion



Sealy



Sechs Cat



Sechs Dragon

Sechs Golem



Sechs Sorcerer



Sechs Tank



Shadow Panther



Shmooly



Silver Wolf



Tortas



Tricky Muck



Troll



Tundra



Turnip Ghost



Typhoon

Uno



Ventuswill



Weagle



Wooly



Yellow



Yellow Dragon



???

Ambrosia



Aquaticus



Bane Dragon



Chimera



Crystal Mammoth



Dead Tree



Death Wall



Emerald



Fiersome



G Golem



Greater Demon



Grimiore


Hinoe


Kinoto



Marin



Marionetta



Octopirate



Olive

Rouge



Sarcophagus


Siren



Terrable



Thunderbolt