The dynamic behavior of an isolated straight stripe domain is reported in garnet films with relatively low damping. In the low drive field region, the translation velocity increases linearly with drive field, then it breaks down over a peak velocity followed by repeated increase and decrease of the velocity with increasing drive field. The peak velocity and the critical field for velocity breakdown are increased by a static in‐plane field applied parallel to the walls of stripe domain, while they are scarcely influenced by an in‐plane field applied perpendicular to them. In case of ion‐implanted film, the peak velocity as well as the critical field depend on the direction of the magnetization within the walls. These experimental results are interpreted quantitatively by a model in which the nucleation, the propagation and the punch‐through of the horizontal Bloch lines are considered.