The present invention relates to a flux-cored wire for positive polarity gas-shielded arc welding use, in which a flux contains a metal powder and also contains BaF2 and SrF2 and AlF3 and/or CaF2 as fluorides wherein the content of BaF2 is 1.0 to 4.5%, the content of SrF2 is 2.0% or less, the content of CaF2 is 0.45% or less and the content of AlF3 is 0.70% or less, at least one of metal elements constituting the flux and the fluorides is a strong deoxidizing metal element having a specified standard formation Gibbs energy, and the content of each of an oxide and a carbonate in the flux is 0.5% or less.