A solid electrolyte fuel cell including a protonic oxide conductor having a composition represented by Ba(Zr.sub.1-xCe.sub.x).sub.1-yM.sub.yAl.sub.zO.sub.3-.alpha. (M: one or more kinds of elements selected from a group of tri-valent rare earth elements and In, 1.gtoreq.x.gtoreq.0, 0.3>y>0, 0.04>z.gtoreq.0, and 1.5>.alpha.>0); and an electrode that is mainly made of platinum and has catalysis properties; wherein an electrolyte has a film thickness of 300 .mu.m or less, and a method of manufacturing the same are disclosed. The solid electrolyte fuel cell can obtain a cell output even at low temperatures equal to 500 degrees centigrade or less.