We report the stereoselective synthesis and biological activity of a novel series of tranylcypromine (TCPA) derivatives (14a-k, 15, 16), potent inhibitors of KDM1A. The new compounds strongly inhibit the clonogenic potential of acute leukemia cell lines. In particular three molecules (14d, 14e, and 14g) showing selectivity versus MAO A and remarkably inhibiting colony formation in THP-1 human leukemia cells, were assessed in mouse for their preliminary pharmacokinetic. 14d and 14e were further tested in vivo in a murine acute promyelocytic leukemia model, resulting 14d the most effective. Its two enantiomers were synthesized: the (1S,2R) enantiomer 15 showed higher activity than its (1R,2S) analogue 16, in both biochemical and cellular assays. Compound 15 exhibited in vivo efficacy after oral administration, determining a 62% increased survival in mouse leukemia model with evidence of KDM1A inhibition. The biological profile of compound 15 supports its further investigation as a cancer therapeutic.