The project, which today started publishing daily in-depth, multimedia stories, based on weekly, New York-based themes, had set out with a target of $50,000 on Kickstarter last month.
In an interview with Journalism.co.uk at the time, founder Noah Rosenberg described Narratively as a "digital multimedia magazine devoted to original, true and in-depth stories about New York".
"We're really just doing beautiful storytelling for beautiful storytelling's sake. So really capturing through our storytelling ... what it means to be a New Yorker."
The beta version of the website went live on Friday, offering a week's worth of content in one, to give audiences a taste of what is to follow.
From today, new stories will be published daily, with the week's agenda already mapped out for users to see, including Friday's dedication to "behind the scenes" material within its "park bench" section, which will include curated audience feedback and reactions.
Content ranges from in-depth magazine-style pieces to short films. The material is freely accessible on the website, but a premium membership option is available which includes free access to Narratively events, ebooks, interactive guides and exclusive additional content.
At the time of writing Narratively has almost 800 backers via Kickstarter, with a total pledge of $53,015.
Rosenberg told Journalism.co.uk via email that "the past 34 days have been an adventure".
"We've learned so much about Narratively's potential and the process has only validated the belief we've held for the past few years that there is a place for more robust local storytelling.
"Reaching our financial goal is so rewarding, and for that we're incredibly grateful to all of our supporters who believed in us and gave us a chance. But their support extends very far beyond the financial.
"The outpouring of uplifting emails and tweets and news articles about us over the past few months - from far beyond our backyard in New York - have given us the encouragement we need to keep moving forward. We'd like to say thank you to everyone who's helped us out since we began this process. We're doing this for you."
The site also has plans to expand to more cities in the future, potentially including London.
Last month Rosenberg told Journalism.co.uk that he believes "every city has a story to tell, every person in every city has a story to tell, and we really want to capture those stories".