Around 5 p.m., police were called to the home on Quail Hills and Quail Park, where there was a weapons disturbance.
Houston police say two women got into an argument with their father, who pulled out a gun.
The girls ran out of the house and then heard a single gunshot.
Officers tried to make contact with the man but were unable to communicate with him.
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A SWAT team was called to the scene, who sent a robot inside the home with a camera.
That is when the man's body was found. Investigators said he appears to have died from a self-inflected gunshot wound.
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