  Following Lipshitz-Sarkar's construction of Khovanov homotopy type, we
construct for any link diagram $L$ a CW spectrum $\mathcal{X}_{\mathit{BN}}(L)$
whose reduced cellular cochain complex gives the Bar-Natan complex of $L$. We
prove that $\mathcal{X}_{\mathit{BN}}(L)$ is stably homotopy equivalent to the
wedge sum of its canonical cells.
