Abstract The limit of the planetary radiation (longwave radiation) of a planet with oceans on its surface is determined by various mechanisms called “radiation limits,” which can be classified as the Komabayashi–Ingersoll limit and the radiation limit of the troposphere. The effects of atmospheric absorption of the incoming central star radiation (shortwave radiation) on the radiation limit of the troposphere are investigated. To clarify the effects, simple parameterization of the absorption is performed. Two cases are found using an atmospheric model without a window for the longwave radiation. When the absorption in the upper atmosphere is effective, the radiation limit becomes larger than in the no-absorption case. On the other hand, the radiation limit disappears in the absence of a window for the incoming radiation.