From Manga Fox: http://www.mangafox.com/manga/n_gm/

Summary

Haiba Sumio is a student at a Tokyo High School with an interesting ability... He occasionally falls asleep and wakes up with premonitions of the future written out on his "Dream Diary". With this ability, Sumio helps out people in trouble before anything bad happens, until one day when his peaceful life completely changes.

Genre(s) Mystery, Psychological, Shounen, Supernatural

This is a new manga, that is published weekly (it seems ;P). There are 5 chapters, where the first, introduction, may seem a little "meh", the rest is really good and exciting .