The incident took place at around 12 noon when the plane skidded off the runway after landing and the nose-wheel got stuck in mud, airport sources said.
The plane with six people onboard, including Yadav and two pilots, was coming from Lucknow The minister and his co-passengers were taken to the medical facility at the airport where they underwent treatment for minor injuries, the sources said.
The aircraft is owned by the Uttar Pradesh government.