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

Here is Why You Need An Adapter

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

Palestine

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

Type C

Type H

Turkmenistan

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

Type C

Type F