Safety case has already been adopted and developed across many industries because it is a good means to demonstrate whether software safety is acceptable. Despite the wide requirements for safety cases across many industries, it is a major challenge to construct compelling and general software safety arguments. The General Development Framework for Software Safety Case (GDFSSC) and its application method has been discussed in this paper. Firstly, construction principle for software safety case from the view of hazard is given. Secondly, the general development framework for software safety case is proposed.