Sajid Javid told the BBC: "We shouldn't be doing things for the sake of it."
It was thought the plan, which came under criticism from venues and some MPs, would be introduced at the end of this month.
Just a week ago, the vaccines minister had defended the scheme as the "best way" to keep the night industry open.
No 10 stressed the plan - which had been set to be introduced at the end of this month - would be kept "in reserve" should it be needed over autumn or winter.
Under the scheme, people would have been required to show proof - whether of double vaccination, a negative Covid test or finishing self-isolating after a positive PCR test - in order to gain entry to clubs and other crowded events.
The Night Time Industries Association had said the plans could have crippled the industry and led to nightclubs facing discrimination cases.
The industry body welcomed Sunday's announcement, saying it hoped businesses could now plan with some certainty and start to rebuild the sector.
The Music Venue Trust, which aims to protect grassroots venues, also said it was glad vaccine passports would not be going ahead, describing them as "problematic".
There had been opposition from Tory MPs on the Covid Recovery Group as well as the Liberal Democrats, whose leader Ed Davey called vaccine passports "divisive, unworkable and expensive".
Speaking on The Andrew Marr Show, Mr Javid said: "We just shouldn't be doing things for the sake of it or because others are doing, and we should look at every possible intervention properly."
He said he had "never liked the idea of saying to people you must show your papers" to "do what is just an everyday activity".
https://www.bbc.com/news/uk-58...
