Using the multilinear estimates, which were derived for proving well-posedness of the generalized Korteweg-de Vries (gKdV) equation, it is shown that if the initial data belongs to Gevrey space G σ , σ 1, in the space variable then the solution to the corresponding Cauchy problem for gKdV belongs also to G σ in the space variable. Moreover, the solution is not necessarily G σ in the time variable. However, it belongs to G 3σ near 0. When σ = 1 these are analytic regularity results for gKdV.

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