The invention discloses a construction process of an asymmetric rigid framework continuous beam. The construction process of the asymmetric rigid framework continuous beam comprises the steps of: 1. construction of pier top beam sections; 2. construction of cantilevers of T-frameworks and bridge pier side span cast-in-situ sections: performing construction on the cantilevers of the T-frameworks byadopting hanging baskets, and meanwhile performing side span cast-in-situ sections of a bridge pier side span beam section by using an attached type high-altitude assembly bracket; 3. folding of a secondary midspan beam section and the bridge pier side span beam section; 4. construction of steep slope side span cast-in-situ sections; 5. folding of the steep slope side span cast-in-situ sections;and 6. folding of midspans. The construction process of the asymmetric rigid framework continuous beam is reasonable in design and simple in construction, and has a good use effect. After the construction of the pier top beam sections is completed, the bridge pier side span cast-in-situ sections are constructed by adopting the attached type high-altitude assembly bracket while the construction ofthe cantilevers of the T-frameworks is completed by adopting the hanging baskets, after the folding of the secondary midspan beam section and the bridge pier side span beam section is completed, the construction of the steep slope side span cast-in-situ sections and the folding of the steep slope side span cast-in-situ sections are completed, and thus the construction process of a high-altitude large tonnage asymmetric rigid framework continuous beam can be simply and quickly completed.