While there doesn't seem to be a published minimum requirement on height, if you check the heights of notable Victoria's Secret models, you will find there are none under 5'9".
Theyare really tall... And lucky.. its not all about having the great hight body and face... Luckis the main conditio of beeing a Victoria Secret model... I love them and their parades... They are amazing and well produced... I saw one with Usher singing. Oh God! i want modeling