Rt Rev Vivienne Faull said the car giant's announcement will affect "thousands of others" in addition to the site's 3,500-strong workforce.
The Bishop of Bristol said: "The decision by Honda to close its Swindon operations is a devastating blow for the town.
"We think of not just the 3,500 people who face the prospect of redundancy, but also the thousands of others who will be affected by the plant's closure."
Honda revealed the site, which produces 150,000 vehicles every year, will close at the end of the current model's production lifecycle.
A statement by the firm said: "This proposal comes as Honda accelerates its commitment to electrified cars, in response to the unprecedented changes in the global automotive industry.
"The significant challenges of electrification will see Honda revise its global manufacturing operations, and focus activity in regions where it expects to have high production volumes."
Business Secretary @GregClarkMP responds to Honda's decision to close its Swindon plant: https://t.co/g0IzOObYwM pic.twitter.com/YlZa94xiDx
— Dept for BEIS (@beisgovuk) February 19, 2019
Business Secretary Greg Clark added his concern, describing the move as a "devastating decision for Swindon and the UK".
Bishop Vivienne invited affected families to uses their local church as a "place to reflect". She said church leaders in the area want to offer "practical support".
She added: "At this time, the church communities are sitting alongside those people that they know and love, offering them a place to reflect and to come to terms with the news.
"Our church leaders also want to offer practical support as well and will be looking for ways that they can be a resource for the on-going discussions that will need to happen now.
Statement by @Honda about the closure of #Swindon plant. Devastating news for our community. I will work with @JustinTomlinson @beisgovuk @SwindonCouncil @SWLEP, Unions and other agencies to support everyone affected in the months ahead pic.twitter.com/ffbK1T4WgV
— Robert Buckland (@RobertBuckland) February 19, 2019
"Swindon is a vibrant place with communities which are increasingly working together for the good of everyone.
"I have no doubt that the people of Swindon will demonstrate their strength and resilience at this time, as they stand alongside all those who are anxious for the future."
The Thames Valley Chamber of Commerce warned that closure of the Honda site in Swindon will have a "major impact across the area", as its effect is felt across the supply chain.
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