A straddle-type vehicle comprising: a head pipe; a main frame extending obliquely downward and rearward from the head pipe; a left seat frame extending rearward from the main frame; a right seat frame extending rearward from the main frame, the right seat frame being disposed rightward of the left seat frame; a seat disposed above the right seat frame and the left seat frame; a body cover disposed at least laterally of the right seat frame and the left seat frame, the body cover including an upper surface portion located behind the head pipe and in front of the seat and extending obliquely downward and rearward to a position lower than the seat; a fuel tank disposed under the seat; an air cleaner disposed under the seat and in front of the fuel tank, the air cleaner including an upper end located higher than a lower end of the fuel tank; a rear wheel disposed below the right seat frame and the left seat frame; a rear fender disposed under the right seat frame and the left seat frame and over a portion of the rear wheel, and a battery, characterized in that the rear fender including a first upper surface (71 U), a second upper surface protruding upward from the first upper surface (71 U), a first lower surface (71 B) located on a back of the first upper surface (71 U), and a second lower surface recessed upward from the first lower surface (71 B) and located on a back of the second upper surface; and the battery is disposed behind the fuel tank and on or over the second upper surface, wherein a largest surface of the battery faces the second upper surface, a longest side of the battery in a plan view extends in a width direction of the vehicle, and a shortest side of the battery extends in an up-down direction, and wherein a front end of an upper surface of the battery is located lower than a rear end of the upper surface of the battery. a head pipe; a main frame extending obliquely downward and rearward from the head pipe; a left seat frame extending rearward from the main frame; a right seat frame extending rearward from the main frame, the right seat frame being disposed rightward of the left seat frame; a seat disposed above the right seat frame and the left seat frame; a body cover disposed at least laterally of the right seat frame and the left seat frame, the body cover including an upper surface portion located behind the head pipe and in front of the seat and extending obliquely downward and rearward to a position lower than the seat; a fuel tank disposed under the seat; an air cleaner disposed under the seat and in front of the fuel tank, the air cleaner including an upper end located higher than a lower end of the fuel tank; a rear wheel disposed below the right seat frame and the left seat frame; a rear fender disposed under the right seat frame and the left seat frame and over a portion of the rear wheel, and a battery, characterized in that the rear fender including a first upper surface (71 U), a second upper surface protruding upward from the first upper surface (71 U), a first lower surface (71 B) located on a back of the first upper surface (71 U), and a second lower surface recessed upward from the first lower surface (71 B) and located on a back of the second upper surface; and the battery is disposed behind the fuel tank and on or over the second upper surface, wherein a largest surface of the battery faces the second upper surface, a longest side of the battery in a plan view extends in a width direction of the vehicle, and a shortest side of the battery extends in an up-down direction, and wherein a front end of an upper surface of the battery is located lower than a rear end of the upper surface of the battery.