A general stochastic model of the atmospheric pressure at the ocean surface was proposed, in which the pressure variation was represented by a spectral decomposition through a random process of orthogonal increments. From the basic equations of ideal and incompressible fluid a set of perturbation equations up to second order had been derived and solved. The pressure variation in the flow field had been calculated using the explicit solutions obtained, and which demonstrated a clear relation between the atmospheric pressure and the one at the bottom of deep ocean. It can be seen that there is a part of the pressure variation which is not attenuating with the depth. The result had been compared with those of Longuet-Higgins and Kadota et al. and all previous results are contained in the solution given in this artice. The restriction on the previous works with regard to the probability law has been removed, and all conclusions are deduced without specific assumptions. The flexibility of the proposed model allows for further generalization and extension in the physical aspects and statistical treatment.