To solve problems in a stroller wherein a baby riding on the stroller is subjected to strong sunshine, bitten by insects, directly blown by wind, exposed to dust, or excessively heated in the stroller despite the fact that the baby is poor in the control of the temperature of the body thereof.

A stroller cover formed of a lace plays four roles comprising the avoidance of sunshine, avoidance of insects, avoidance of wind, and avoidance of dust. Since a pocket storing a cold insulator is formed thereon, when the cold insulation is put in the pocket, even the baby poor in the control of the temperature of the body can comfortably go out.