In this work, we consider a D-dimensional ( \( \beta, \beta^{\prime}\) -two-parameters deformed Heisenberg algebra, which was introduced by Kempf et al. The angular-momentum operator in the presence of a minimal length scale based on the Kempf-Mann-Mangano algebra is obtained in the special case of \( \beta^{\prime} = 2\beta\) up to the first order over the deformation parameter \( \beta\) . It is shown that each of the components of the modified angular-momentum operator, commutes with the modified operator \( {L}^{2}\) . We find the magnetostatic field in the presence of a minimal length. The Zeeman effect in the deformed space is studied and also Lande's formula for the energy shift in the presence of a minimal length is obtained. We estimate an upper bound on the isotropic minimal length.