The present invention discloses a method for manufacturing a palladium-platinum core-shell catalyst for a fuel cell. More specifically, the present invention discloses a method for manufacturing a palladium-platinum core-shell catalyst for a fuel cell, in which a platinum shell nano particle epitaxially grown on a palladium core is synthesized and dipped in a carbon support, thereby manufacturing the palladium-platinum core-shell catalyst for a hydrogen fuel cell, such that mass production of a uniform size is possible. Additionally, the techniques herein reduce the requirement for the use of expensive metal, which reduces the manufacturing cost of a fuel cell. Moreover, is the techniques herein are applicable to the field of high-efficiency hydrogen fuel cells having superior electric catalytic activity and durability.