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We prove Ornstein-Zernike behaviour in every direction for finite connectionfunctions of bond percolation on $\mathbb{Z}^{d}$ for $d\geq3$ when $p,$ theprobability of occupation of a bond, is sufficiently close to $1.$ Moreover, weprove that equi-decay surfaces are locally analytic, strictly convex, withpositive Gaussian curvature.

On the Ornstein-Zernike behaviour for the Bernoulli bond percolation on $\mathbb{Z}^{d},d\geq3,$ in the supercitical regime