By studying the Born-Oppenheimer equation for a neutral spin-1 particle moving in a spherically symmetrical magnetic field, the non-Abelian Berry's connection in the internal space is found. In the adiabatic approximation, it displays the role of Wu-Yang's monopoly. The dynamics for the configurational space is studied by using the concept of section in fibre bundle. Though the angular momentum and energy are quantized, their values are moved. The origination of this phenomena is geometrical.