This paper is aimed at studying the effect of a magnetic field on the marte
nsitic transition of a Cu-Al-Mn shape-memory alloy. The martensitic transit
ion has been studied through resistance measurements under applied magnetic
fields ranging from 0 to 50 kOe. Negative,magnetoresistance showing an alm
ost linear dependence with the square of the magnetization has been observe
d. This magnetoresistive effect is associated with the existence of small f
erromagnetic Mn-clusters. Its strength and thermal dependence is different
in both phases. The martensitic transition temperature is slightly increase
d and its spread in temperature significantly reduced upon increasing the f
ield. These results show the existence of magnetoelastic coupling, which fa
vors the nucleation of those martensitic variants with the easy magnetizati
on axis aligned with the field.