Tryggve Olavsson (d. 963) (Old Norse: Tryggvi Ólafsson) was king of Viken (Vingulmark and Ranrike). He was son Olaf Haraldsson, king of Vestfold, and grandson of Harald Fairhair.

According to Heimskringla, Tryggve ravaged in Ireland and Scotland, and performed viking cruises in the West sea. In 946 king Håkon went north, and set Trygve over Viken to defend that country against enemies. He gave him also in property all that he could reconquer of the country in Denmark, which the summer before king Håkon had subjected to payment of scat to him.

Tryggve was killed by Eirik Bloodaxe's son Harald Greyhide as part of Haralds effort to re-unite all of Norway under his rule.

Tryggve's son, Olaf Tryggvason, later became king of Norway.