The lattice deformation strain dependence of the invariant plane (IP) condition at the habit plane, and the kinematic compatibility (KC) condition at the interface between habit plane variants (HPVs), were numerically analyzed in the cubic-orthorhombic martensitic transformation. The IP condition can be satisfied in a limited region of the principal component space of the lattice deformation. The KC condition at the averaged junction plane between HPVs can be satisfied in only the six types of HPV pairs classified in our previous study, provided the IP condition at the habit plane is satisfied. Furthermore, three of the six types of HPV pairs can form a fully compatible junction plane as long as the IP condition is satisfied. The kinds of interfaces that can be kinematically compatible in the six morphologies are invariant against the lattice parameters when the IP condition at the habit plane is maintained.