A dog leash that includes a handle, an elastic strap portion, an inelastic strap portion, and means for attaching either the elastic portion or inelastic portion to a dog collar. The elastic and inelastic portions are connected to each other by either a releasable buckle or a non-releasable buckle. A releasable inelastic locking strap assembly can be attached to the same members to which the elastic strap is attached to provide a leash with both a stretchable mode and a non-stretchable mode.