The goal of our research was investigation of diode pumped Nd:YAlO3 (Nd:YAP) laser tuning possibility in spectral range of general interest 1.3 – 1.5 μm. Laser radiation in this region is very required for many applications in medicine, atmospheric physics, and spectroscopy due to high absorption of this radiation in liquid water and water vapors. We use 1.0 at. % doped Nd:YAP active medium φ5 x 8 mm in dimensions. As a pumping source, a fibre-coupled 808 nm laserdiode was utilized. Two particular Nd:YAP laser resonators (one for 1.3 μm spectral region and the second one for 1.4 μm spectral range) consisted of a flat pump mirror and a curved output coupler were designed and constructed. The laser line selection was realized by a single 1.5 mm thick quartz plate placed at the Brewster angle between the output coupler and laser active medium. Six single emission lines were reached within the desired spectral range (1340 nm, 1341 nm, 1342 nm, 1403 nm, 1408 nm, 1433 nm). Moreover, it was possible to realize the laser system generating in dual frequency regime for some line combination. The respective output laser characteristics in terms of output power, beam spatial structure, and temporal profile were also recorded.