The influence of the in-plane uniaxial anisotropy (IPUA) in the mutual energy transfer time (τ) between two identical coupled nanodisks was studied. Using an analytical dipolar model, we obtained the interactions between the disks along x and y directions (the coupling integrals) as a function of the uniaxial anisotropy constant (Kσ) and the distance. We find that the IPUA increases the interaction between the disks allowing shorter energy transfer times. For our range of Kσ values, we get a drop in the values of τ of up to about 70%. From the Lagrangian of the system, we obtained the equations of motion and the coupling frequencies of the dynamic system as a function of distance and Kσ. The coupling frequencies were also obtained from micromagnetic simulations. Our results of the simulations are in agreement with the analytical results.