The order was issued in the Vikna district of Nord Trondelag in central Norway after the fish became resistant to chemical treatments against the sea-lice parasite.
The Salmon and Trout Association Scotland (S&TAS) says the action aims to protect wild young salmon migrating through the fjords to the sea from huge numbers of juvenile sea-lice being released from particular salmon farms.
The S&TAS has written to the Scottish Government, drawing attention to the Norwegian action and asking what consideration it is giving to applying "similar punitive sanctions" against salmon farm operators in Scotland which are unable to keep sea-lice numbers below agreed thresholds.
Hugh Campbell Adamson, S&TAS chairman, said: "Norway's clampdown on those salmon farms where sea-lice numbers are out of control shows that it takes the protection of wild salmon seriously."
A Scottish Government spokeswoman said: "The Scottish Government fully supports the sustainable growth of Scotland's aquaculture sector with due regard to the marine environment, and our regulatory system is set up to deal with the specific circumstances here."