Bran's Pony is the horse ridden by Bran Stark before he is crippled.
A Game of ThronesEdit
Bran rides the pony to the judgement and execution of the Night's Watch deserter Gared. On the way back he rides with Jon Snow and Robb Stark, but struggles to keep pace with their horses. When they run off to have a race he instead ends up riding with his father, Lord Eddard Stark, and the rest of their party.
Bran visits the pony later on, the day before he is meant to ride south to King's Landing with his father. The sight makes him sad and he can't say goodbye.