The rock band will be joined by stars including Queen's Brian May, Led Zeppelin bassist John Paul Jones and Nirvana's Krist Novoselic.
Other names on the star-studded line-up include Liam Gallagher, Mark Ronson and comedians Chris Rock and Dave Chappelle.
A separate tribute concert will be held in Los Angeles on 27 September, featuring acts such as Alanis Morissette, Miley Cyrus and Pink.
The gigs are expected to be the band's first since Hawkins was found dead aged 50 in his hotel room in Colombia in March.
Who is on the line-up?
The Taylor Hawkins tribute concert will take place at Wembley on 3 September.
The Foo Fighters will be joined by the following artists (listed in alphabetical order):
Brian May and Roger Taylor (Queen)
Chris Chaney (Jane's Addiction)
Chrissie Hynde (The Pretenders)
Geddy Lee and Alex Lifeson (Rush)
John Paul Jones (Led Zeppelin)
Josh Homme (Queens of the Stone Age)
Krist Novoselic (Nirvana)
Liam Gallagher (Oasis)
Nile Rodgers (Chic)
Rufus Taylor (The Darkness)
Stewart Copeland (The Police)
Wolfgang van Halen
How can I get tickets?
Tickets for the London show went on sale at 9am on Friday, 17 June.
In a statement, the Foo Fighters said the concerts would celebrate the "monolithic talent and magnetic personality" of the late musician.
The band added: "The Taylor Hawkins Tribute Concerts will benefit charities in the UK chosen by the Hawkins family.
"Beneficiaries and further details will be announced shortly."
Hawkins' widow Alison shared her "deepest thanks and admiration" for the Foo Fighters' fans in a statement posted on Instagram.
She added: "In celebration of his life, it is now up to all of us who loved him most to honour Taylor's legacy and the music he gave us.
"Thank you all again for your love and sympathy. Taylor loved all of you & we love you too."
Watch: Tributes paid to Foo Fighters' Taylor Hawkins