Mr Huang also met Mr Shorten in 2015 after he donated more than $50,000 to the Labor party, and the businessman was behind the resignation of Labor senator Sam Dastyari in 2017.
Attorney-General Christian Porter announced photographs showed Mr Shorten dining at Mr Huang's daughter's wedding at the Shangri-La Hotel in Sydney in 2016.
The Australian has published several photos of Mr Shorten sitting at a formal dinner or celebration, with Huang Xiangmo nearby.
The Chinese businessman has since had his visa revoked and he cannot return to Australia after advice from security agencies.
"Mr Huang has met with many people in the Labor party, in other sides of politics, and it's a free country, they can meet with who they like," Mr Morrison told reporters in Launceston on Wednesday.
"But at the end of the day, we're the ones who cancelled his visa, we are the ones who wouldn't give him citizenship and we're the ones who said he's never returning to Australia."
Mr Shorten was asked if he discussed the China Australia free trade agreement with Mr Huang when they met in 2015.
"We have had plenty of meetings with all sorts of people, we always talk about foreign policy, you can talk about domestic policy," he told reporters.
The Labor leader said his party banned foreign donations two years before the coalition made it law in January.
Former prime minister Malcolm Turnbull on Tuesday said Mr Morrison should investigate Mr Dutton's contact with Mr Huang.
"(Mr Turnbull's) been the chair of the national security committee. He (was) the leading spokesperson for three years on the national security of the nation. He's blown the whistle on these revelations," Mr Shorten said.
Mr Dutton on Tuesday said citizenship was not discussed at the 2016 meeting, and he never took a dollar in donations from Mr Huang.
Former prime minister Tony Abbott said Mr Dutton had acted appropriately.
"It's not a crime to be photographed with someone, it's not a scandal to go to an event with someone," he told reporters.
"It's only a problem if you then do something which has been bought."
Former foreign minister Julie Bishop told AAP she had not met personally with Mr Huang but she had met him at a public event in Sydney.
Mr Huang paid a former Liberal minister to set up a meeting with Mr Dutton at a Chinese restaurant in Sydney, according to an investigation by the ABC's Four Corners.
The investigation also said Mr Dutton approved a request from Mr Dastyari to fast track Mr Huang's family's application and allowed them a private citizenship ceremony inside the former Labor senator's parliament house office.