  We study the Klein-Gordon equation for Coulomb potential, V(r)=(-Ze^{2})/r,
in quantum mechanics with a minimal length. The zero energy solution is
obtained analytically in momentum space in terms of Heun's functions. The
asymptotic behavior of the solution shows that the presence of a minimal length
regularize the potential in the strong attractive regime, Z>68. The equation
with nonzero energy is established in a particular case in the first order of
the deformation parameter; it is a generalized Heun's equation.
