Interior Minister Raul Velasquez says the attacks appear to be retaliation by criminals, but did not point to a specific gang.
He says the government will not be "intimidated."
The two dead officers were gunned down Thursday in a rough, low-income neighborhood of Guatemala City.
In addition, two officers were shot and wounded as they stood guard outside a school, while a third was hurt in a later shooting. A grenade tossed at a police station failed to explode in a fourth attack.
Last month, four prison officials were shot to death in apparent retaliation for a crackdown on an extortion ring operating from behind bars.