"On this day of festivities, our hearts and prayers are with the victims and their families," Singh said in his message to the families who have lost their kin in the stampede near the Durga temple at Ratangarh in Datia district.
In her message, Gandhi expressed "shock and deep anguish" over the tragic incident.
She extended her condolences to the families who have lost their kin and expressed the hope that the injured are being attended to suitably.
Unconfirmed reports said the stampede took place as some people tried to jump the queue and police used batons to control them.