The suspect, 37-year-old Angel Figueroa-Rodriguez of Wilmington was taken into custody around 10 a.m. Tuesday.
Police say he's the victim's stepson.
Police were called to the 900 block of Maple Street around 1:20 a.m. Sunday.
They say the 46-year-old man had been attacked and stabbed several times, including once in the chest.
Man stabbed on Wilmington street
He was treated on the scene and then taken to Christiana Hospital in critical condition.
Figueroa-Rodriguez is charged with assault first degree and possession of a deadly weapon during the commission of a felony.
He is currently awaiting arraignment.
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