The incident occurred last night when a six-member forest department team tried to chase away the elephant which had strayed into a human habitat from Madukkarai forest area, they said.
As the team used crackers to scare the pachyderm, it ran towards Palakkad Highway via B K Pudur in Kuniyauthur, disrupting traffic for a while.
The 25-year-old elephant then came running towards the team and gored Vijayakumar and Karthikeyan.
The duo were taken to a private hospital, from where Vijayakumar was discharged this afternoon, forest department sources said.
The elephant had attacked one person last week and a special team was formed to monitor the movement of the animal, they added.