Résumé en anglais

A singularity of a curve means the germ of a holomorphic map of the complex line into complex space at a singular point. Simple singularities of plane curves were classified by J. W. Bruce and T. J. Gaffney, and simple singularities of space curves by C. G. Gibson and C. A. Hobbs. In this work the singularities of curves in a target of any dimension are investigated. The author gives a complete classification of simple singularities of curves of any dimension. He also treats the relation expected between this classification and the AD E classifications.