You Do Need power plug adapter while traveling from Canary Islands to Christmas Island.

Here is Why You Need An Adapter

The outlet and plug type used in Christmas Island is I and in Canary Islands are C, E and F. This is how they look like.

Canary Islands

In Canary Islands, outlets of type C, E and F are in use.

Type C

Type E

Type F

Christmas Island

In Christmas Island, outlets of type I are in use.

Type I