They were shot at by a motorcyclist at around 12.55 pm while they were travelling on a motorcycle.
The mother, 53-year-old Vinitha Padmini, was a resident of Dumunnegedara, Kaleliya.
The son who was aged 26, is being treated at Wathupitiwala Hospital.
Nittambuwa Police probe the incident.
Update: Thursday, 24 May 2018 - 14.58
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Shooting in Nittambuwa, mother & son injured
Police say a mother and her son were injured in a shooting incident in Nittambuwa this afternoon.
The victims were travelling on a motorcycle.