You Do Need power plug adapter while traveling from Western Sahara to Palestine.

Here is Why You Need An Adapter

The outlet and plug type used in Palestine are C and H and in Western Sahara are C and E. This is how they look like.

Western Sahara

In Western Sahara, outlets of type C and E are in use.

Type C

Type E

Palestine

In Palestine, outlets of type C and H are in use.

Type C

Type H