Duthie joined the company in 1984, and has held the position of commercial director since 2008. His promotion to chief executive is effective from 19 April when the current CEO, John Sharkey departs the company.
Duthie said: "With the opening of The SSE Hydro, I believe the SECC to be the leading event and entertainment campus in the UK. The business is well placed for a great future, moving from a period of development to the challenge of fully exploiting the assets which have been created. I look forward to being in a position to lead and direct the company at such an exciting time."
SEC chairman Will Whitehorn added: "The recruitment process for the position of CEO has been a rigorous one, with a large number of candidates and lengthy interview process for what is a very sought-after and challenging job. Peter has emerged as the best candidate on his own merit and the fact that he has done so reflects the standing of the SECC team in the UK and wider market."
This year the SECC and The SSE Hydro will have a major role in the Commonwealth Games, as well as being the venue for prestigious events including The MTV European Music Awards and the Ryder Cup Opening Concert.
SECC Glasgow's former sales director Ben Goedegebuure recently started his new role as general manager EMEA at Maritz Travel Company after announcing his departure last November.