The first step to find what kind of intermolecular force a molecule will exerce is to check the structure and polarity of the molecule. In the case of water, it is an angular and polar molecule, due to the electronegativity difference between the O atom and the H atom:
Any polar molecule will interact with other polar molecule via a dipole-dipole interaction. The dipole-dipole interaction gets more intense as the electronegativity difference between the atoms in the molecule increases. When H is attached to three of the most electronegative elements (F, O and N), we have an interaction that is so intense that it is a special case of a dipole-dipole, called hydrogen bonding.
In water, since we have and H attached to an O, the intermolecular force binding water molecules together will be, then, the hydrogen bonding.
Remember: An intermolecular force is not a chemical bond. When we refer to hydrogen bond, there's no actual covalent bond being made between two molecules. It's just an attraction of electric nature.