Abstract:  A differentiable manifold is said to be contact if it admits a linear functional f on the tangent bundle satisfying f ∧（df）M-1≠0.This remark obtain the following the classification: LetM be a complete connected contact hyper-surface of CH²（-4）,then M is congruent to one of the following:（i）A tube of radius r>0 around a totally geodesic,totally real hyperbolic space form H²（-1）;（ii）A tube of radius r>0 around a totally geodesic complex hyperbolic space form CH¹（-4）;（iii）A geodesic hypersphere of radius r>0,or（iv）A horosphere. 

Key words: differentiable ,  , manifold,  , tangent ,  , bundk