Its announcement came a fortnight after it had made public that it was reviewing the future of both magazines.
The last issue of the teen title J17 will be the May issue, on sale on 12 April. The Face's May issue will still be published on 8 April but Emap will suspend publication after this date as it considers whether to relaunch, sell or close the title.
Emap said it was trying to find alternative jobs within the company for the editorial and commercial teams at the magazines. Staff at The Face are keen to keep the title going, but a buyer has yet to be found. Paul Keenan, the chief executive of Emap Consumer Media, said: "Sadly, with J17 we have exhausted all options to make it a viable proposition on the newsstand. With The Face, we are conducting a review and weighing up the different options."
The Face, launched in 1980, became an iconic style title in the 80s and early 90s but has suffered declining circulation. J17 was first published as Just Seventeen in 1983.