Neanderthals are a distinct species. If "human" in the context you are using it is confined to Homo sapiens then no, Neanderthals are not human. If your definition of human is anything in the genus homo then yes, Neanderthals are human.
"Species" and "genus" are human (hey-o) concepts that we impose on the natural world to try and understand it, and ultimately this depends on who you ask.