We study the spectra and response of Hooke's law spherium (two electrons moving on a surface of a sphere and interacting via harmonic potential to external static and laser fields. The spectrum of the Hooke's law spherium is analysed in the light of varying coupling strength. In addition, the < cos n θ >, n = 1, 2 for different contributions of 'static' and 'laser' fields is studied and analysed.