The attack happened in on Saturday in Vere Foster Walk off the Springfield Road.
The teenager is to face Belfast Magistrates’ Court today for a first remand hearing.
Another 19-year-old, Aidan Muir, from Springhill Grove in the city, appeared in court on Monday and was released on bail.
Muir was allegedly armed with a pair of scissors and a hammer during the attack.
He faces charges of possessing an offensive weapon, burglary and causing grievous bodily harm.
The PSNI say a 26-year-old man, also arrested in connection with the stabbing, has been released on bail pending further inquiries.