We present high-resolution observations (R similar or equal to 10(5)) of the interstellar Na I D lines in the spectra of 23 stars which are close to HD 50896 on the plane of the sky, plus HD 50896 itself. The results are parameterized by using simple cloud models. We confirm that HD 50896 lies beyond the cluster Cr 121 (which is in the same line of sight), and estimate D similar or equal to 1.8 kpc.