  Using field theory we calculate the Casimir energy and Casimir force of
two-component Bose-Einstein condensates restricted between two parallel plates,
in which Dirichlet and periodic boundary conditions applied. Our results show
that, in one-loop approximation, the Casimir force equals to summation of the
one of each component and it is vanishing in some cases: (i) inter-distance
between two plates becomes large enough; (ii) intraspecies interaction is zero;
(iii) interspecies interaction is full strong segregation.
