The calf-height Alien Stompers were created specifically by the sportswear brand for Aliens – the second in the Alien movie series directed by James Cameron, which starred Weaver as warrant officer Ellen Ripley.
The designs feature three velcro straps, a bright red tongue and matching accents across the beige and grey upper.
Nike presented the first pair of the shoes to the film's lead Michael J Fox on 21 October 2015, the year his character Marty McFly travels to. Earlier this month, the brand unveiled a new pair of self-lacing trainers.
Following Back to the Future day last year, which gained a great deal of publicity, film studio 20th Century Fox has named 26 April 2016 as Alien Day. The date is connected to the fictional planet LV-426, where the parasitic life forms originate from.
The films follow Ripley's continuing struggle to escape the aliens while stranded in deep space. They feature futuristic set and character designs by Swiss artist H R Giger.
On 26 April, the movies will be replayed in cinemas, and the replicas of Weaver's Alien Stompers will be released around the same time.
A special mid-cut version of the shoes will also be available, similar to those worn by actor Lance Henriksen as the android bishop.