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We study the dynamical properties of both bulk and edge spins of atwo-dimensional Affleck-Kennedy-Lieb-Tasaki (AKLT) model mainly by using thestochastic series expansion quantum Monte Carlo method with stochastic analyticcontinuation. In the deep AKLT phase, we obtain a spin spectrum with flat band,which is a strong evidence for a localized state. Through the spectrumanalysis, we see a clear continuous phase transition from the AKLT phase to theN\'eel phase in the model, and the energy gap becomes closed at thecorresponding momentum point. In comparison with linear spin-wave theory, thedifferences show that there are strong interactions among magnons at highenergies. With open boundary condition, the gap of edge spins in the AKLT phasecloses at both the $\Gamma$ point and the $\pi$ point interestingly to emergeinto a flat-band-like Luttinger liquid phase, which can be explained bysymmetry and perturbation approximation. This paper helps us to betterunderstand the completely different dynamical behaviors of bulk and edge spinsin the symmetry protected topological phase.

Bulk and edge dynamics of a 2D Affleck-Kennedy-Lieb-Tasaki model