Kjelvik is an abandoned fishing village in Nordkapp Municipality in Finnmark county, Norway.

It is located on the island of Magerøya, about 5 kilometres (3.1 mi) northeast of the town of Honningsvåg and about 3.5 kilometres (2.2 mi) northeast of the village of Nordvågen.

However, during World War II, the village was destroyed by German forces in 1944, and it never recovered.

As a consequence of this, in 1950 the name of the municipality was changed to Nordkapp to recognize the importance of the nearby North Cape.

The village name was first mentioned in existing historical records in 1518 as "Kedelwigh".