Police say the children, ages four and seven, were walking to school with their mother when at the crosswalk, they darted into the road and were hit.
"It makes me sad to hear that children got hit," said Deyonna Whitepool, who lives in the same building as the family.
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"I just met them. But they seem like good kids," she said.
The accident happened at about 7 a.m. Tuesday at the intersection of 20th and Diamond streets. The driver stayed at the scene and talked with police.
After speaking with investigators, she was allowed to leave in her own car.
Police have not said whether she will face any charges.
The sister and brother were both taken to Hahnemann University Hospital. They were later transported to St. Christopher Hospital for further evaluation and treatment.
Police say the 4-year-old boy is in critical condition with a head injury.
His 7-year-old sister is also in the hospital still, but her injuries are not as serious.
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Residents say the streets in that area can be dangerous for both drivers and pedestrians.
"Nowadays, a lot of these intersections are not safe," said Alvin Fountain while holding his young son. "All these areas have schools in them. They need a crossing guard on the corner."