Summary: The almost everywhere pointwise and uniform convergences for the generalized KP-II equation are investigated when the initial data is in anisotropic Sobolev space \(H^{s_1, s_2}(\mathbb{R}^2)\). Firstly, we show that the solution \(u(x, y, t)\) converges pointwisely to the initial data \(f(x, y)\in H^{s_1, s_2}(\mathbb{R}^2)\) for a.e. \((x, y) \in\mathbb{R}^2\) when \(s_1 \geq \frac{1}{4}\), \(s_2 \geq \frac{1}{4}\). The proof relies upon the Strichartz estimate and high-low frequency decomposition. Secondly, We prove that \(s_1 \geq \frac{1}{4}\), \(s_2 \geq \frac{1}{4}\) is a necessary condition for the maximal function estimate of the generalized KP-II equation to hold. Finally, by using the Fourier restriction norm method, we establish the nonlinear smoothing estimate to show the uniform convergence of the generalized KP-II equation in \(H^{s_1, s_2}(\mathbb{R}^2)\) with \(s_1 \geq \frac{3}{2} - \frac{\alpha}{4} + \epsilon\), \(s_2 > \frac{1}{2}\) and \(\alpha \geq 4\).