Let $\bar{X}$ be a smooth $n$-dimensional Fano manifold with $n\geq 3$, whose anticanonical bundle is $(d_{1}+d_{2})L_{0}$ for some positive line bundle $L_{0}$, and $d_{1},d_{2}$ are positive integers. Let $D_{1},D_{2}$ be two transversally intersecting smooth divisors in the linear system associated to $d_{1}L_{0}$ and $d_{2}L_{0}$ respectively. Then $X=\bar{X}\setminus D_{1}\cup D_{2}$ admits a complete Calabi-Yau metric.