A head-up display configured to display a display image as an inclined virtual image (I) to an observer (D), the head-up display comprising: a display device configured to display the display image ; and a projection optical system configured to magnify and project the display image , wherein the projection optical system includes a first optical element and a second optical element arranged in order of an optical path from the display image , the first and second optical elements being arranged between the display device and a windshield that guides the light projected by the projection optical system to a viewpoint region of the observer (D), and wherein when optical paths corresponding to an upper end and a lower end of the virtual image (I) are defined as an upper ray (Lu) and a lower ray (LI), respectively, and a diverging effect and a converging effect of the first optical element and the second optical element are defined as being negative and positive, respectively, the first optical element and the second optical element satisfy the following conditional expressions , : P_u1 − P_l1 < 0 where P_u1 denotes a local power of the first optical element acting on the upper ray (Lu), and P_I1 denotes a local power of the first optical element acting on the lower ray (LI); and P_u2 − P_l2 > 0 where P_u2 denotes a local power of the second optical element acting on the upper ray (Lu), and P_I2 denotes a local power of the second optical element acting on the lower ray (LI). a display device configured to display the display image ; and a projection optical system configured to magnify and project the display image , wherein the projection optical system includes a first optical element and a second optical element arranged in order of an optical path from the display image , the first and second optical elements being arranged between the display device and a windshield that guides the light projected by the projection optical system to a viewpoint region of the observer (D), and wherein when optical paths corresponding to an upper end and a lower end of the virtual image (I) are defined as an upper ray (Lu) and a lower ray (LI), respectively, and a diverging effect and a converging effect of the first optical element and the second optical element are defined as being negative and positive, respectively, the first optical element and the second optical element satisfy the following conditional expressions , : P_u1 − P_l1 < 0 where P_u1 denotes a local power of the first optical element acting on the upper ray (Lu), and P_I1 denotes a local power of the first optical element acting on the lower ray (LI); and P_u2 − P_l2 > 0 where P_u2 denotes a local power of the second optical element acting on the upper ray (Lu), and P_I2 denotes a local power of the second optical element acting on the lower ray (LI). P_u1 denotes a local power of the first optical element acting on the upper ray (Lu), and P_I1 denotes a local power of the first optical element acting on the lower ray (LI); and P_u2 − P_l2 > 0 where P_u2 denotes a local power of the second optical element acting on the upper ray (Lu), and P_I2 denotes a local power of the second optical element acting on the lower ray (LI). <EOS>