"We remain committed to the creation of a Movie Museum in Wellington and will now be considering other options."
Wellington Mayor Justin Lester said the decision came after a series of meetings and correspondence between the two sides, and they'd given the joint project their best shot.
He said it eventually became clear that the movie museum and convention centre would be better as two separate projects.
Lester said they hoped to break ground on the convention centre by next year.
"This will be a welcome development for Wellington's business, hospitality and accommodation sectors as it will mean the city will be equipped to host larger conferences and conventions."
The new convention centre is expected to include a 1500m2 exhibition space, with the council currently in talks with Te Papa about a partnership for the operation of the space.
The Wellington Regional Economic Development Agency (Wreda) is welcoming the news, warning that any further delay to the convention centre would have been a lost opportunity for the capital city.
CEO Lance Walker said Wellington was currently missing out on conference events because it didn't have a centre big enough for large conferences.
"If we don't press go now, the simple fact is we'll keep missing out and with it the substantial economic benefit that comes from these types of events.
"We need to remain competitive and attractive in the lucrative business events market.
"Auckland and Christchurch are both building new impressive facilities so whilst Wellington is currently second in New Zealand's business events market, with $140m of spending injected last year to the economy, that would be under threat without a purpose-built convention centre.
"But it's also an opportunity to grow our economy. We expect an estimated additional $31m of economic benefit per year to come with this new venue from the convention business alone.
"Business event visitors are also more valuable than regular tourists, spending longer in the region and spending more."