We give a combinatorial formula for the character of a finite-dimensional irreducible representation of the periplectic Lie superalgebra $\mathfrak{p}(n)$. The character of irreducible module $L(μ)$ is given by a cancellation-free alternating sum over the characters of thick or thin Kac modules, $Δ(λ)$ or $\nabla(λ)$, such that there exists a ribbon tiling of a skew Young diagram $λ/μ$.