You Do Need power plug adapter while traveling from Lebanon to Israel.

Here is Why You Need An Adapter

The outlet and plug type used in Israel are C and H and in Lebanon are C, D and G. This is how they look like.

Lebanon

In Lebanon, outlets of type C, D and G are in use.

Type C

Type D

Type G

Israel

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

Type C

Type H