A process for producing methacrylic acid and/or methacrylic acid ester by oxidative dehydrogenation of isobutyric acid and/or isobutyric acid ester, wherein the improvement comprises using a catalyst having the composition represented by (where X denotes at least one element selected from the group consisting of lithium, beryllium, magnesium, barium, tin, lead, chromium, tungsten, and tellurium; subscripts a, b, c, d, e, f, and g each denote the ratio of the respective elements; b, c, d, e, and ...