The girls, aged around 6 to 7, were students at a private Catholic school and were waiting for their school bus, NHK said. The broadcaster said a man detained at the scene also died.
The suspect, a man probably in his 40s or 50s, was unconscious when he was detained after stabbing himself in the neck, it said. The man was said to have begun slashing at people as they waited at the bus stop and then on the bus, it said.
"I heard screaming, then I saw a man standing with a knife in each hand," NHK quoted an unidentified witness as saying. "Then he crumbled to the ground." Two knives were found at the scene, NHK said.
The Kawasaki City fire department put the number of injured at 19, including three with severe wounds.
Violent crime is relatively rare in Japan but occasional high-profile incidents have shocked the nation. More than a dozen people were injured in a 2010 stabbing spree on a school bus and a commuter bus in a Tokyo suburb.Two years earlier, a 28-year-old man drove a truck into a crowded pedestrian crossing in Tokyo, killing three people, and then fatally stabbed four more.