Ivor Collingwood-Williams, 36, is alleged to have knifed the pair in the street close to his home in Bow.
Both women needed hospital treatment for their injuries, which were not life-threatening, according to police.
The alleged unprovoked attacks took place just two days apart.
Jaqueline Ross, who is in her 60s, was stabbed in the stomach as she walked along a path on her way back from buying fish and chips on Friday evening.
Jaqueline Clarke, 57, suffered stab wounds to her stomach and arm when Collingwood-Williams allegedly slashed at her 17 times on Sunday night.
He appeared at Thames Magistrates’ Court on Tuesday charged with two counts of causing grievous bodily harm with intent and two counts of possessing an offensive weapon – a knife.
Wearing grey tracksuit bottoms and a grey T-shirt, he spoke to confirm his name, date of birth, address and that he was British during a hearing that lasted less than five minutes.
Collingwood-Williams was remanded in custody until 25 September when he will appear at Snaresbrook Crown Court.