In the paper, an experimental study of the influence of loading cycles in one direction on the stress softening in another direction in an ACM-elastomer is presented. Stress-stretch diagrams resulting from uniaxial tension cycles with a constant and alternating direction of elongation are compared. This leads to the conclusion that tensile cycles in one direction do not cause the Mullins effect in the perpendicular direction. Moreover, contractive stretches in a direction, where the Mullins effect in tension is already present, weaken the stress softening. The anisotropy of the Mullins effect becomes clearly evident and should be taken into account in the constitutive modeling of filled elastomers.