The photo, posted on the Facebook page of their charitable fund, shows Mette-Marit, her neck-brace hidden by a scarf, clinging adoringly to Crown Prince Haakon and smiling broadly.
"Great that Crown Princess Mette-Marit could also attend a part of the meeting while she is still in recovery from her operation," read a message on the Facebook page.
Norwegian news site ABC Nyheter was sharply criticized last week after it published a story saying many Norwegians were worried by rumours of an impending divorce.
It quoted an unnamed official telling Katrine Angelica Østlyngen, a journalism student who called the palace, dismissing the rumours.
"We are familiar with the rumour, and it's just a rumour," the palace official said. "You are not the first to have called and asked about it. But it's not true."
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The rumours had been circulating on social media sites such as Twitter and Facebook for more than a month, with some posts claiming that a press conference was planned to announce a split as early as this week.
Mette-Marit is currently recovering from surgery last month on the slipped disc which has stopped her fulfilling her official duties since the start of October.