Officers responded to the 22500 block of Victory Boulevard at about 7:40 a.m., according to LAPD.
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The agency says responding officers found three children, a girl and two boys ranging from ages 8 to 12, unresponsive inside the home.
All three were pronounced dead at the scene by Los Angeles Fire Department crews.
The mother of the children was initially questioned and later arrested in connection with the deaths, officials said. No other suspects are being sought.
The cause and manner of death are unknown. The investigation is ongoing.
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No further details were immediately available.
Editor's note: The location of the crime scene was initially reported as being in Woodland Hills.