In this paper, we study the gravitational field generated by a straight material segment around itself. At first we discuss the calculation of the field, outside the support of the segment, and on this support, then we discuss the self field. We also study values of this field in special points. We also study the field generated by a set of segments,, where we interest in the value of this field in the common special points, and show the cases where this field is finite, or infinite. We provide a set of properties concerning the components of this field. We also discussed the concept of falling on the material segment, where we define the particular type of motion which we call successive motion, and we show its conditions. This motion really present a falling on the material segment.