The packet doesn't say, but I found this article: http://www.ehow.com/info_8148670_forgetmenot-flowers-annuals-perennials.html
"Forget-me-nots, spring-blooming plants of the Borage family, are annuals, perennials or biennials depending on the United States Department of Agriculture plant hardiness zone in which they grow."
So I guess it depends on where you live? I'm not the most knowledgeable with plants, I'm sorry.