Black Celebration reached number four on the UK Albums Chart, and has been cited as one of the most influential albums of the 1980s. To promote the album, the band embarked on the Black Celebration Tour. Three years after its release, Spin ranked it at number 15 on its "25 Greatest Albums of All Time" list.
Contemporaneous reviews for Black Celebration in the British press were mixed. Melody Maker's Steve Sutherland lambasted the album and wrote that Depeche Mode came off as "pussycats desperate to appear perverted as an escape from the superficiality of teen stardom" and Sounds published a similarly scathing review. While criticizing chief songwriter Martin Gore's "adolescent fragments of despair", Sean O'Hagan of NME nonetheless praised Black Celebration's "perfectly constructed jigsaw melodies" and concluded, "When the songs address topics other than the composer's state of mind – as on the evocative exploration of loneliness that is 'World Full of Nothing' – Depeche Mode sound like a lot more than just a high tech, low-life melodrama." Betty Page of Record Mirror felt that the band should be admired for their "refusal to follow anything but their own fashion" and "unswerving ability to come up with great, fresh melodies."
Black Celebration has since been reappraised in retrospective reviews. In 2007, Rob Sheffield of Rolling Stone referred to the album as an "instant classic for the band's fans" that at the time of its release had seemingly been "utterly ignored by everybody else."
In 2007, Black Celebration was re-released with a bonus DVD. It was released on 20 March 2007 in the United States, on 26 March in the United Kingdom and on 2 April in the rest of Europe, as a part of the third wave of reissues (along with Construction Time Again). The first CD was remastered and (except in the United States) released as a CD/SACD hybrid. The bonus DVD includes the album's B-sides in addition to the singles and B-sides for "Shake the Disease" and "It's Called a Heart", two singles released in the interim between Some Great Reward and Black Celebration. The reissue also includes several live versions of some of the songs from Black Celebration. The album is released as originally intended and ends with "New Dress" (not "Black Day" or "But Not Tonight").
As with the other reissues, the accompanying DVD includes a documentary film. The film's title, The Songs Aren't Good Enough, There Aren't Any Singles and It'll Never Get Played on the Radio, is a quote from the film in which Martin Gore paraphrases Daniel Miller's reaction to the album's early demos. The documentary includes much detail about the making of the album, its singles and the ensuing tour. Other highlights include the band meeting the Cure and behind-the-scenes footage of several of the music videos.
The remastered album was released on vinyl on 2 April 2007 in Europe and on 11 September 2007 in the United States.
"Depeche Mode: 1985–86: (The Songs Aren't Good Enough, There Aren't Any Singles and It'll Never Get Played on the Radio)" (written and produced by Roland Brown; directed by Ross Hallard and Phil Michael Lane)
Black Celebration (DTS 5.1, Dolby Digital 5.1 and PCM Stereo)
"Fly on the Windscreen – Final"
"A Question of Lust"
"It Doesn't Matter Two"
"A Question of Time"
"Here Is the House"
"World Full of Nothing"
"Dressed in Black"
Live in Birmingham, April 1986 (DTS 5.1, Dolby Digital 5.1 and PCM Stereo)