The move is part of the global packaging group's European restructure, which is in response to "relocation of parts of our customer base to low-cost, high-growth markets such as Eastern Europe", according to the firm.
It also quoted competitive markets, lower retail prices, overcapacity, as well as increases in raw material, energy and transport costs as factors in the decision to close the plant.
"We have examined in detail a number of possible alternatives, but we believe no viable solution exists to the financial and strategic problems facing these businesses," said chief executive Graham James.
The firm is in discussion with Amicus GPMS on starting a consultation period.
Colodense prints confectionery and snack food packaging. The site employs 175 staff and houses gravure, flexo and lamination kit.
Work from the Bristol plant will be moved to other Amcor sites in the UK and Western Europe.
As part of the restructure, the firm has also proposed the closure of its plant in Hochheim, Germany.
Have your say in the Printweek Poll
Related stories
Latest comments
"Is a pre-pack looming?"
"Many of us designers create artwork for mixed media campagins (such as print, social media, digital billboards). Keeping images in RGB and letting the RIP convert saves a lot of time and energy rather..."
"Excellent news on both productivity and sustainability; great to see Acorn investing to deliver a better outcome for both into the future. Well done 🙌🙌🙌"
Up next...

Norfolk business to appoint liquidators
Blackwell Print closes doors

Restructure to take place
Footprint picks up marketing expertise in new merger

OK! Beauty Box subs also on the up
Football and Taylor Swift boost Reach results

Applications open until 30 March