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

Here is Why You Need An Adapter

The outlet and plug type used in Palestine are C and H and in Turkmenistan are C and F. This is how they look like.

Turkmenistan

In Turkmenistan, outlets of type C and F are in use.

Type C

Type F

Palestine

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

Type C

Type H