Family is slain.
The shooting also left a street vendor dead in front of Carlos Reyes's house in the town of Monte Largo, near Mexico's border with Guatemala.
Tabasco State deputy prosecutor Alex Alvarez said: "They wanted to kill the officer but they killed his whole family."
Alvarez said three other people were wounded in the attack.
The motive for the atack on Saturday was unclear, but Alvarez said Reyes had led raids on two homes on Wednesday that led to the death of three suspected gang members.