Herein, the effect of an applied moderate (≈240 mT) magnetic field on the work of adhesion (WoA) of mechanically soft (the shear modulus ≈10 kPa) magnetoactive elastomer (MAE) samples with two different mass fractions (70 and 80 wt%) of carbonyl iron powder (CIP) is concerned. The unfilled elastomer sample is used for comparison. Due to some sedimentation of filling particles, the concentration of inclusions in thin (≈10 μm) subsurface layers is different. It is shown that the WoA increases (up to 1.8‐fold) on the particle‐enriched side (PES) in the magnetic field and its value is higher for higher filler concentration. On the particle‐depleted side (PDS), WoA does not depend on particle concentration and on the magnetic field. Adhesion and friction are coupled in MAEs. No statistically significant difference in the friction coefficient, determined from the extended Amontons´ law, depending on sample side, CIP concentration, or presence of magnetic field is found. However, the PDS in the magnetic field demonstrates significantly higher critical shear stress compared to that for the PES or PDS in the absence of magnetic field. Correlations between different surface properties are discussed. Obtained results are useful for the development of magnetically controllable soft robots.