  We study the interaction between the vortices in multi components
superconductors based on the Jacobs and Rebbi variation method using
Ginzburg-Landau theory. With one condensation, we get attraction interaction
between the vortices for type I and repulsion for type II superconductors. With
two condensation states such as Mg B_{2} superconductors the behavior is quite
different. There is attraction at large distances and repulsion when the
vortices are close to each other. A stability point at distance
2.7/{\lambda}_{1} is obtained. In the case of three condensation states such as
iron based superconductors,we see different behavior depending on penetration
depth and correlation length. The formation energy of a vortex with three
condensation states is larger than the one with one condensation state with
comparable penetration and correlation length. We obtain two stability points
for the superconductors with three condensation states.
