The incident took place near the town of Lodhran when the rickshaw drivers apparently misjudged the speed of the Karachi-bound train due to heavy fog while crossing the tracks.
The injured were shifted to District Headquarters Hospital Lodhran for immediate treatment.
Expressing grief and concern over the incident, Punjab Chief Minister Shahbaz Sharif directed authorities to provide medical facilities to the injured, Radio Pakistan reported.
In September, six persons were killed and over 150 others injured when a Karachi-bound passenger train rammed into a stationary freight train near Multan in Punjab province in a pre-dawn accident.