Water pollution by heavy metal is a major environmental problem. Adsorption is one of the most used and promising heavy metal removal techniques. The development and evaluation of new adsorbents is thus an important topic. Some heavy metal ions - like Cu2+, Mn2+, Cr3+center dot center dot center dot - are paramagnetic and known to affect the Nuclear Magnetic Resonance (NMR) relaxation times T-1 and T-2 of water protons in aqueous solutions. These relaxation times can be used to evaluate the paramagnetic ion concentration in solution. For the adsorption of Cu2+ on activated alumina, we show, after a comparison with conventional methods, that NMR T-2 relaxometry can be used to perform kinetics study and obtain a Langmuir isotherm. The T-2 relaxometric experiment is performed at 0.47 T directly in an NMR tube with 350 mu l of solution and 45 mg of adsorbent. For the kinetics study, a single tube is used since the measurement is nondestructive. The NMR experiments allow to determine a maximum Cu2+ adsorption capacity q(max) = 4.32 mg(cu)/g(Al2O3) and an equilibrium adsorption constant K = 0.61 mM(-1). T-1 based relaxometry can also be used to evaluate the amount of Cu2+ adsorbed on alumina, directly on the wet sorbent. Even if it is limited to paramagnetic heavy metal ion and necessitates rather high metal concentration, NMR relaxometry could become an interesting additional tool for the study of heavy metal adsorption.