It happened around 8 p.m. Monday at a home in the 2400 block of Tidewater Drive near Townwood.
Police say three to four men forced their way in and shot a man inside before stealing several items.
The man was shot in the leg and is expected to survive. The 4-year-old child was not injured and is with relatives.
The incident remains under investigation. Anyone with information is asked to contact Houston police.