This paper studied the basic properties of the Lovetriangle system under some specificallied parameters, such as symmetry, dissipation, fixed points (equilibria), chaotic behavior and chaotic attractors. As the psychology system is highly complexi and indefinable. This paper selected the random factors by standard Gaussian white noise to depict it, and then a new model of love was constructed. The random dynamical behavior of the new model was researched, and the influence of the different excitation amplitude on the system was discussed.