"What is important is that the two countries should follow the principle of mutual respect and mutual benefit, truly respect each other's interests and concerns, appropriately handle friction and effectively manage differences to uphold the large interests of co-operation.
"The vast Pacific Ocean is big enough to accommodate the common development of China and the United States."
Mr Jia is the highest-ranking visitor from China since Vice-President Xi Jinping's visit in July 2010, notable for a scuffle between his security and Greens co-leader Russel Norman.
Mr Jia's visit marks the 40th anniversary of diplomatic relations between New Zealand and China.
He will meet Acting Prime Minister Bill English because Prime Minister John Key is leading his own delegation to Indonesia and Singapore.
Also visiting New Zealand is Vietnamese Deputy Prime Minister Nguyen Xuan Phuc, one of four deputies appointed for a five-year term in 2011.