Making the world better, one answer at a time. Lexapro is not a narcotic, it is an SSRI antidepressant. Like a narcotic though, you should not just stop taking Lexapro suddenly if you have been taking it for a while. Lexapro is not a narcotic, it is an SSRI antidepressant. Like a narcotic though, you should not just stop taking Lexapro suddenly if you have been taking it for a while.