The appointment comes as organisers plan to introduce live tours and club nights to exploit the Mobo brand, and seek to 'increase our exposure globally'.
Amazing's contract spans pre-publicity, the night itself, and post-publicity.
It has been briefed to 'focus on the Mobos' positive achievements'. The agency was appointed without a pitch.
Kanya King MBE, the founder of the Mobos, said: 'This year is our tenth anniversary and we have planned a lot of PR activity.'
The awards, to be held in October, were last year boycotted by some stars, while King was reportedly booed when on stage following a ban on two reggae acts over homophobic lyrics.
In addition to Amazing, broadcast PR is being handled by TX Media.
Amazing is co-managed by Jacquie Chalmers and Anna Graham, who both formerly worked at Outside, which has handled the awards' PR in previous years.
Amazing also promoted this year's NME Awards (PRWeek, 7 January).