This paper investigates the potentials of the Memory Surface Hardening model to predict the mechanical response of a Quartz Sand under drained cyclic loading conditions. The constitutive model is implemented in a kinematic hardening, bounding-surface and critical state framework. A new surface, the memory surface, is introduced to retain memory of previous stress history and to define a region of increased stiffness. The memory surface is subjected to two uncoupled hardening mechanisms linked to the experienced contractive and dilative plastic volumetric strains: the memory surface expands when the soil experiences contractive plastic volumetric strains; the memory surface contracts when the soil experiences dilative plastic volumetric strains. The model will be validated against drained cyclic triaxial test data and it will be shown that the model can simulate the magnitude of the accumulated strains for different relative densities, cyclic amplitudes and average stress ratios, while some hints for further improvement will also be provided.