The time of big data and progress in cloud calculation have put forward new requirements to company financial accounting. This research has constructed a cloud-based dispersible financial counting system which uses a service-oriented structure (SOA). Through the introduction of chaos theory, and through its combination with DES and RSA, a chaotic mixed encryption algorithm has been put forward for the building of a safety mechanism. The analysis of safety indicates that the Lena image gives a chi-square value of 255.5 at the 0.05 significance level, which is under the expected value, therefore it proves that the algorithm we put forward has high attack resistance ability. In actual application, the system greatly promotes financial accounting work efficiency for small and medium enterprises, lowers manpower costs, speeds up data processing work, and cuts down mistake occurrences.