Good morning to you! Is the bleeding on top of the nose or coming from within the nostril?
Do you have other cats at home?
How is the kitten acting? Is he/she eating and drinking ok? Normal bowel movements and urination?
How long have you had this kitten and what vaccines have been done? Does he/she have any other drainage from the nostrils or eyes? Is he sneezing at all?
If you have other cats, someone could have taken a swipe at a "nosy" new kitten, so you might look for scratches on the nose. Also, an active little kitten could have found any number of sharp objects around the house to accidently run into and hurt himself.
As zodiacqueen has said, this is not normal for a kitten. If the bleeding persists, you should contact your veterinarian today. If it stops and stays stopped, you could probably wait until normal business hours on Monday for an appointment. Either way, this little kitten should be seen so that you can get him/her updated on vaccines, dewormings, and tested for Feline Leukemia or FIV.
Good luck...we would love to hear back from you!
Tomcat
This is NOT normal at all, I would probably be freaking out!! You didn't say how much. If it was a lot of blood, I'd be going to the emergency vet. If it was a small amount, that's not As urgent. Whether it is small, or a large amount of blood the cat needs to go to the vet. I've had cats my entire life-35 yrs, and I have never ever seen that before. I seriously would freak if I saw my cat w/ a nosebleed.
If your cat's an outdoor cat, this could be a sign of some trauma to the head. Something could've gotten in the nose. These are the possibilities that I could come up with.
Do me a favor, if you find out what it is please tell us on this forum.