The data firm, which works exclusively in the cultural sector, also provides insights to Te Papa and museums around Australia, the US and the UK.
The company can predict how external elements, such as weather, tourism and other cultural events, will impact audience attendance in galleries and museums.
Chris Michaels, digital director of the National Gallery, said big data and analytics was at the core of the institution's digital strategy.
"We are delighted to be working with Dexibit to explore the potential of predictive analytics for better understanding on how we can service our audiences," Michaels said.
"Machine learning and artificial intelligence have huge potential value for helping museums build better insight and develop new kinds of financial sustainability," he said.
"We believe these new models can help us create better value for our visitors, and that the learnings we generate can help not only us but the wider sector."