YES! That's why he is the most "famous" reindeer!
Its debatable that his nose is red. Though it is certain that it lights up the colour red. Because of his special nose he was able to help Santa deliver all those presents on that foggy Christmas night. After that none of the reindeers made fun of him anymore.
If you havent already done so, listen to the Christmas carol, "Rudolph The Red Nose Reindeer" It actually explains everything!
Rudolph can look differently depending on who draws him but usually he is a brown reindeer with a big red nose.
Rudolph the reindeer nose is red
It has never been stated what made Rudolph's nose glow red. Rudolph just happened to be born with a red nose.
Rudolph the Red-Nosed Reindeer's nose was red because he was born that way. It was just something unique about him.
Rudolph The Red Nose Reindeer is 71 years old
Rudolph the red nosed reindeer
Rudolph's red nose.
Rudolph the red nose reindeer
Donner is Rudolph the Red-Nosed Reindeer's father.
Assuming that you are talking about Rudolph the Red-Nosed Reindeer then the answer is yes.
The other reindeer called Rudolph names such as "Red-Nose" and "Shiny-Nose" due to his glowing red nose. These names were often used in a teasing or mocking manner before Rudolph became a hero for guiding Santa's sleigh.
It was Rudolph the Red Nose Reindeer.