The name of Badrinath Dham as Badrikasharam is mentioned in Hindu Vedic Scriptures. Badri word originated from local wild berry. Many believed that whne Lord Vishnu is on meditation in the mountains, Goddess Lakshmi took the form of Badri tree and put her shade on Lord Vishnu. When the Lord saw that he named this place as Badrinath.
As per Vaman Puran, the sages Nar-Narayan perform penances here and then this place called Badrinath. The Nar-Narayan sages are fifth avatar of Lord Vishnu.