Church leader Michael Hussain said his house was stormed by the group who were trying to evict them in an ongoing dispute over property.
His home was targeted earlier in October in the town of Farooqabad, about 70km away from Lahore.
Hussain said the group fired bullets into the roof and then attacked his family.
"My father, my wife and I were seriously injured and hospitalised," he told World Watch Monitor.
He said when his father tried to stop the mob from entering the house they hit him on his head with their guns.
The attackers then dragged the rest of the family out of their rooms and beat them, he said.
Police are investigating.