The Dirac point is the crossing point of the linear energy dispersion curves E_+(k)=+ v_F.k, E_-(k) =-v_F.k . Because of two sublattices of graphene, there exist two symmetric Dirac points, - K, +K. The energy at the crossing points is zero, therefore graphene is gapless and so it is a semimetal.

The Dirac point is the crossing point of the linear energy dispersion curves E_+(k)=+ v_F.k, E_-(k) =-v_F.k . Because of two sublattices of graphene, there exist two symmetric Dirac points, - K, +K. The energy at the crossing points is zero, therefore graphene is gapless and so it is a semimetal.

Please see M.O. Goerbig (2011): Although they (Dirac points) are situated at the same position in the first BZ, it is useful to make a clear conceptual distinction between the Dirac points D and D', which are defined as the contact points between the two bands, andthe crystallographic points K and K', which are defined as the corners of the first BZ. There are indeed situations where the Dirac points move away from the points K and K'.