The Boomtown Rats singer spoke at his daughter's funeral on Monday (21.04.14), after she was found dead in home in Wrotham, Kent on April 7, and record label boss Alan was left shaken after the ceremony at St Mary Magdalene and St Lawrence Church in Davington, Kent, near to Peaches' home.
He told The Daily Mirror newspaper: ''It was very heavy when I saw Bob help carry his daughter down through the chapel.
''It was incredibly tragic but I think he handled it as well as any man could.
''The bravest thing I think I've ever seen him do is give the eulogy to his daughter who has died.''
Alan, who has discovered bands such as Oasis and Primal Scream, joined guests including Kate Moss and her husband Jamie Hince, Trudie Styler, Sarah Ferguson, Jools Holland, Nick Grimshaw and Jo Wood at the funeral, as they paid their respects to the 25-year-old star.
The blonde beauty leaves behind her husband Thomas Cohen and their sons Phaedra, who turned one today (24.04.14), and Astala, two.
Peaches' death is being treated as ''non-suspicious'', but an autopsy proved to be inconclusive earlier this month.
The star's family now have to wait for toxicology tests to be carried out in coming weeks.
His new album Underneath It All is out now.