The 13-year-olds were hit around 2pm on Friday October 28 on Barnsley Road, Goldthorpe.
“It is thought a man was riding a black and yellow quad bike dangerously around the area before he hit the girls," confirmed a Force spokesman.
“One of the girls sustained a broken leg from the incident along with other minor injuries.”
A 24-year-old man, interviewed by police in relation to the incident, has been released pending further inquiries.
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Anyone with in formation is asked to call police on 101 quoting incident number 636 of October 28.