A saddle-ride or straddle-type vehicle, such as a saddle-straddling type motor vehicle, comprising: a head pipe; a cover member arranged in front of the head pipe; and a position lamp unit arranged at the cover member, wherein the cover member has a recess that is arranged at a center of the vehicle and is concave or dented rearward of the vehicle, a front cover member that extends from a position further forward than an opening of the recess to a position further upward and rearward than the opening in a vehicle side view, and extends upward, rightward and leftward from a position in front of the opening of the recess in a vehicle front view, a right groove that is formed to be located at a position further rightward than the recess and to extend rightward, and is concave or dented towards an inside of the vehicle, and a left groove that is formed to be located at a position further leftward than the recess and to extend leftward, and is concave or dented towards an inside of the vehicle, wherein the position lamp unit has a right light-transmitting member that has a length larger in a right-and-left direction than a length in a top-and-bottom direction, has a light-transmitting property and is provided at the cover member to be located below the front cover member and to extend upward and rightward, and a left light-transmitting member that has a length larger in the right-and-left direction than a length in the top-and-bottom direction, has the light-transmitting property and is provided at the cover member to be located below the front cover member and to extend upward and leftward, and wherein the right groove and the left groove are provided at positions further downward than the respective right light-transmitting member and left light-transmitting member, and the saddle-ride or straddle-type vehicle being characterised in that it further comprises a head lamp unit provided at a position further downward than the position lamp unit and at least part of the cover member is arranged between the position lamp unit and the head lamp unit. a head pipe; a cover member arranged in front of the head pipe; and a position lamp unit arranged at the cover member, wherein the cover member has a recess that is arranged at a center of the vehicle and is concave or dented rearward of the vehicle, a front cover member that extends from a position further forward than an opening of the recess to a position further upward and rearward than the opening in a vehicle side view, and extends upward, rightward and leftward from a position in front of the opening of the recess in a vehicle front view, a right groove that is formed to be located at a position further rightward than the recess and to extend rightward, and is concave or dented towards an inside of the vehicle, and a left groove that is formed to be located at a position further leftward than the recess and to extend leftward, and is concave or dented towards an inside of the vehicle, wherein the position lamp unit has a right light-transmitting member that has a length larger in a right-and-left direction than a length in a top-and-bottom direction, has a light-transmitting property and is provided at the cover member to be located below the front cover member and to extend upward and rightward, and a left light-transmitting member that has a length larger in the right-and-left direction than a length in the top-and-bottom direction, has the light-transmitting property and is provided at the cover member to be located below the front cover member and to extend upward and leftward, and wherein the right groove and the left groove are provided at positions further downward than the respective right light-transmitting member and left light-transmitting member, and the saddle-ride or straddle-type vehicle being characterised in that it further comprises a head lamp unit provided at a position further downward than the position lamp unit and at least part of the cover member is arranged between the position lamp unit and the head lamp unit.