Why kittens drool:
1. If a cat suffers from oral ulcers, gum disease, or other oral diseases, it will cause the cat to drool.
2. It is possible that the cat ate some inedible foreign object, which may have gotten stuck in the cat's esophagus or stomach, causing drooling.
3. It is also possible that the cat has ingested some toxic substance, leading to poisoning and causing drooling. 
Solutions for a kitten's drooling:
1. If the cause is oral disease, you need to give your cat some anti-inflammatory medication to treat the oral disease, and use mouthwash to clean its mouth.
2. If the cat swallowed a foreign object that got stuck in its throat or esophagus, it needs to be taken to the vet immediately.
3. If the poisoning is caused by poisoning in the cat, you need to induce vomiting immediately and then take the cat to the hospital for treatment.