The tensor contribution can be directly incorporated in the cluster model in a simplified way. In conventional α cluster models, the contribution of the non-central interactions exactly cancels because of the antisymmetrization effect and spatial symmetry of α clusters. The mixing of breaking components of α clusters to take into account the spin-orbit and tensor effects is needed. Previously we proposed a simplified method to include the spin-orbit effect, and also for the tensor part, a simplified model to directly take into account the contribution of the tensor interaction (called SMT) was introduced; however the contribution of the tensor interaction was quite limited. Here we improve SMT, which is called iSMT. Using newly proposed iSMT, the contribution of the tensor interaction in 4 He is more than −40 MeV, four times larger than the previous version. The method is applied to four-α cluster structure of 16 O. In 16 O, the tensor contribution is also large, and this is coming from the finite size effect for the distances among α clusters with a tetrahedral configuration.