Many consider the original handset iconic because of its popularity and sturdiness. More than 126 million were produced before it was phased out in 2005.
The revamped version will be sold under licence by the Finnish start-up HMD Global, which also unveiled several Nokia-branded Android smartphones.
One expert said it was a "fantastic way" to relaunch Nokia's phone brand.
"The 3310 was the first mass-market mobile and there's a massive amount of nostalgia and affection for it," commented Ben Wood from the technology consultancy CCS Insight.
"If HMD had just announced three Android devices they would have barely got a couple of column inches in the press.
"So, the 3310 is a very clever move and we expect it will sell in significant volumes."
The original Nokia 3310 handsets had a reputation for standing up to damage
The announcement was made ahead of the start of the Mobile World Congress tech show in Barcelona. LG, Huawei and Lenovo are among others to have unveiled new devices.
Nokia no longer makes phones itself but manufacturers telecoms equipment, Ozo virtual reality cameras, and health kit under the Withings brand.
Long lifeThe new 3310 qualifies as a "feature phone" rather than a smartphone as it only provides limited internet facilities.
It relies on 2.5G connectivity - which has slower data speeds than 3G or 4G - and is powered by the S30+ operating system, which allows web browsing but has a much smaller range of apps than Android or iOS. Its single camera is also restricted to two megapixels.
The new 3310 weighs 79.6g (0.18lb) and has a 2.4in (6cm) display
However, its advantage over more powerful handsets is its battery life. HMD says the colour-screened phone has up to a month's standby time and delivers more than 22 hours of talk time.
It also comes with the modern version of the classic game Snake preinstalled.
Its launch price is €49 ($51,75; £41.51).
"It's almost like a digital detox or a holiday phone," HMD's chief executive Arto Nummela told the BBC.
"If you want to switch off to an extent but you still need to have a [mobile] lifeline, it's a brilliant solution.
"Why wouldn't you buy this like candy? If you see this hanging on the shelf at the checkout in a [see-through] package, then you'd just buy it as an accessory."
HMD announced three new Nokia smartphones - and an updated version of an old classic
HMD also confirmed the Nokia 6 Android smartphone would be released worldwide following its China debut in January.
The device has a 16-megapixel rear camera, a 5.5in (14cm) 1080p "full definition" screen and includes the Google Assistant helper - the search engine's rival to Apple's Siri.
It is priced as a mid-tier device at €229, alongside a glossy black special edition that costs €299.
In addition, the firm showed off smaller, lower-range Nokia 5 and Nokia 3 models.
Source: BBC News