The names of Santa's nine reindeer are...

Rudolf of course, with his red nose lighting the way.

The names of the other eight can be found in the poem 'The Night Before Christmas' by Clement Clarke Moore

More rapid than eagles his coursers they came,
And he whistled, and shouted, and called them by name;
Now, Dasher! now, Dancer! now, Prancer and Vixen!
On, Comet! on Cupid! on, Donder and Blitzen!

How many did you get?