A trio of tweets from DisCon III says the 2021 edition of The Hugo Awards will honor a video game along with their awards for the best in science fiction. They say this will be a one-off, but the idea of making video games a permanent category going forward is being considered:

In 2021, there's going to be a Hugo Award For Best Video Game.

The DisCon III committee has chosen to create this special category for 2021 only, as provided for by the rules of the World Science Fiction Society.

“Since early 2020, many of us have spent more time gaming than we ever expected. This award will offer fans an opportunity to celebrate the games that have been meaningful, joyful, and exceptional over this past year.” - #DisconIII co-chair @yesTHATColette said of the award.

There is no permanent Hugo Award category to recognize this interactive form of storytelling with which so many fans of the genre create and engage.

The Hugo Study Committee is also considering Best Game or Interactive Experience as a potential permanent category.