You Do Need power plug adapter while traveling from Saint Barthélemy to North Cyprus.

Here is Why You Need An Adapter

The outlet and plug type used in North Cyprus is G and in Saint Barthélemy are C and E. This is how they look like.

Saint Barthélemy

In Saint Barthélemy, outlets of type C and E are in use.

Type C

Type E

North Cyprus

In North Cyprus, outlets of type G are in use.

Type G