Something Understood is an ethical discussion programme on early Sunday mornings and repeated Sunday evenings, exploring religious themes through music and guests from a variety of backgrounds.
Episodes are made by various independent production companies, such as TBI media, 7Digital and Falling Tree productions.
However, the slot will be filled with old episodes from April 2019, with no new ones being made.
The show started in 1995 and is presented by Sir Mark Tully, a BBC journalist, as well as other contributors.
The corporation said it was to do with budget issues, saying: "The BBC continues to face significant financial challenges, and has to save £800 million by 2012; so Radio 4, like the rest of BBC Radio, has to make tough choices.
"We've broadcast Something Understood for nearly 24 years, and we know the decision to no longer make this programme will disappoint our audience.
"But we have a full and rich back catalogue of the programme, and we propose to fill the schedule with the best of the archive for the foreseeable future."
It appears to contradict the intention to produce more religious content next year.
In December 2017, the BBC said: "We also plan for landmark series and programmes to reach wide audiences, with a Year of Beliefs in 2019; diversifying our range of contributors and enhancing portrayal in mainstream programming; improving religious literacy inside and outside the BBC; and helping people understand their values and decisions through innovative content across a range of genres, including using archive content which remains relevant online.
"We believe that these plans will ensure that the BBC better reflects the UK, the world, and the role that religion plays in everyday life. They will also raise understanding of the impact religion has on decisions made at home and abroad."
Falling Tree Productions wrote on twitter: "It was our privilege to produce scores of episodes with a wonderful spectrum of presenters and perspectives before R4 management lost faith in the network's 'still point', Something Understood ..."
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