Enables the transfer of a solute or solutes from one side of a membrane to the other according to the reaction: norepinephrine(out) + Na+(out) + Cl-(out) = norepinephrine(in) + Na+(in) + Cl-(in).
Reactome:R-HSA-5659764 "Defective SLC6A2 does not cotransport NAd, Na+ from extracellular region to cytosol"; Wikipedia:Norepinephrine_transporter; reactome:R-HSA-443997 "SLC6A2 cotransports NAd, Na+ from extracellular region to cytosol"