The 40-year-old, who has a history of drug addiction, was stopped by officers at the Kristiansand Airport in Kjevik, after they found eight grams of weed, reported TMZ Online.
The rapper was fined 1,243 pound as the amount was less than 15 grams. Norway's marijuana laws are easy and an amount of up to 15 grams is usually considered for personal use and punishable by a maximum fine of 5000 kroner or USD 827.
Dogg was later allowed entry in the country, where he is set to play the Hovefestivalen event.