The Caixin Purchasing Managers' Index (PMI), tracking activity in the factory and workshop sector, came in at 48.2 in December, down from 48.6 the previous month, the Chinese media group said.
The sector is key to the health of the economy which is a major driver of global expansion. A PMI figure above 50 signals expanding activity while anything below indicates shrinkage.
The fall in PMI "shows that the forces driving an economic recovery have encountered obstacles and the economy is facing a greater risk of weakening", He Fan, an economist with Caixin Insight Group said in the statement.
"The government needs to pay more attention to external risk factors in the short term and fine-tune macroeconomic policies accordingly so the economy does not fall off a cliff," he said.
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China's economy grew at its slowest pace for 24 years in 2014 and eased further in 2015, as Beijing struggles to transform the country's growth model to a slower but more sustainable one driven by consumption rather than infrastructure investment.
In July-September the country logged its worst economic performance since the global financial crisis, with growth of 6.9 percent.
An official PMI survey -- which has a larger sample base -- released on Friday also showed shrinkage at 49.7, although it improved from November's 49.6.
Economists have warned of downside risks faced by the Chinese economy even though the government is likely to achieve its 2015 growth target of "about seven percent".
President Xi Jinping said in November that annual expansion of only 6.5 percent would be enough to meet the government's goals, the clearest signal yet Beijing will lower its growth targets for the coming years.