The six new cases of the H7N9 infection were reported from March 24 to 30, according to a statement issued by the provincial center for disease control and prevention.
One person died of the infection, health authorities said.
It said cold and rainy weather in many regions of the province contributed to the spread of the virus.
Live poultry trading has been suspended in the provincial capital Changsha since March 17. The suspension will last for 21 days.
China is on a three-day holiday for 'Tomb Sweeping Day', when people in some regions slaughter poultry as a tribute to ancestors.
Health experts advise the public to avoid exposure to live poultry and not to buy unlicensed poultry meat, state-run Xinhua news agency reported.