The present invention relates to a method for treating patients afflicted with non-aggressive or moderately aggressive amyotrophic lateral sclerosis (ALS) whose rate of change of the revised Amyotrophic Lateral Sclerosis Functional Rating Scale (ALSFRS-R) prior to treatment initiation is <1.1 points per month, said method comprising administering a tyrosine kinase inhibitor or mast cell inhibitor, in particular masitinib, or a pharmaceutically acceptable salt or solvate thereof, optionally in combination with at least one pharmaceutically active ingredient.