Kocayiǧit H.Önder M.2025-04-102025-04-102013http://hdl.handle.net/20.500.14701/50054In this paper, we study spacelike and timelike curves of constant breadth in Minkowski 3-space. We show that in Minkowski 3-space spacelike and timelike curves of constant breadth are normal, helices, and spherical curves in some special cases. Furthermore, we give that the total torsion of a closed spacelike curve of constant breadth is zero while the total torsion of a simple closed timelike curve is equal to 2πn, (n ∈ Z). © 2012 Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag.Article10.1007/s10231-011-0247-5