In this paper the two model of Jupiter’s atmosphere, vi., adiabatic and isothermal, have been considered. The variability of the period of rotation of the atmosphere depending on the latitude and the variation of gravity have both been taken into account.The datum level of Jupiter is the effective radiating and absorbing layer probably a cloud layer at a certain height in the atmosphere It has the observed temperature of 150 ° Absolute. The authors have investigated the relation between pressure and density at any depth below the datum level and at any height above the datum level, in each of the two cases, viz., (i) when the atmosphere consists of methhae only, and (2) when it consists of a mixture of one part of methane and six parts of hydrogen Even taking the atmosphere to be in adiabatic condition below the datum level and in isothermal condition above the datum level the authors have found that the total thickness of the atmospheric layer cannot, in any ease exceed 1900kms., and possibly it is below 1300 kms.