Security forces near the checkpoint shot the attacker in the leg. He is reportedly in serious condition at the season.
The injured family was treated at the site of the attack by emergency medical personnel prior to being taken to Jerusalem’s Hadassah University Medical Center.
The two parents and their four children were from Beitar. The six suffered burns on their bodies but all were listed in fair condition.
The alleged attacked was being given medical treatment near the scene of the crime according to news agencies on site.
Earlier in the day on Friday, a Palestinian drove his vehicle into a checkpoint security barrier close to where two soldiers from Israeli Defense Forces were standing near an outpost of the military close to Nablus on the West Bank.
Initial reports indicated that the soldiers were not injured, while the driver was listed as slightly injured.
The soldiers apparently avoided being hit by the vehicle since they took shelter behind a cement wall barricade that was in front of a nearby bus stop.
It is not clear if that attack was an attempt to kill the soldiers or if the driver just lost control of his vehicle and hit the barricade.
The Palestinian was being questioned at the scene of the incident and security forces at the scene were investigating the circumstances that took place.
Following a number of what were described as terrorist attacks where Palestinians in vehicles have crashed into Israelis, it was decided by the IDF to deploy protective barricades at a number of different bus stops across the West Bank.
At the same time, Jerusalem police on Friday said they increased deployment in their city because of concern over riots following the death of a minister from the Palestinian Authority.
Police there had not been any limits placed on the Muslim prayer on Friday at Temple Mount.