The wand of Draco Malfoy is 10" hawthorn wood, with a unicorn hair core. It was described by Mr. Ollivander as "reasonably springy". He owned it until Harry won it in a duel. Because Draco disarmed Dumbledore before his death, Draco become the master of the Elder Wand, but because Harry disarmed Draco too , the Elder Wand's master was Harry Potter.
There was no duel. Harry captured the wand from Draco by taking it from his hand by force just before disapperating from Malfoy Manor with Dobby.