Andrea Woodhead, 52, of Idle Road, Bradford, was also charged with assault and possession of an offensive weapon, West Yorkshire Police said.
One of the victims was pushing a baby in a pram when she sustained her injury on Friday. The child was unharmed.
Ms Woodhead is due to appear at Bradford Magistrates' Court on Monday.
Police were called to reports of a woman in her 50s having been stabbed in Scotchman Road, in the Manningham area of the city, just after 09:50 GMT on Friday.
Just 20 minutes later, at 10:10 GMT, a woman in her 30s pushing a pram was found with a stab wound to her back close to the Parkside Centre in Keighley Road,  in the city's Frizinghall district
Both victims suffered single stab wounds and were taken to hospital but were later discharged.
A woman has been charged with assault causing grievous bodily harm after two women were stabbed on the same morning in separate attacks in Bradford.