Hydrogen generally lose an electron to form H+ ion rather than gaining an electron.
this is because on gaining an electron the number of electron increases and the electrostatic repulsion is very high causing low stabili of the H- ion.
Regarding the H+ ion, since it will only exist almost always (or always) in solution, it can be stabilized by other ions with a negative charge (e.g. HO-, Cl-). It also does not have the same electrostatic repulsion brought on by two electrons.
Hence, you will find that the H+ ion is much more common than the H- ion.