Holbrook succeeds Simon Blake, who has stepped down after seven years to take up the role of chief executive at the National Union of Students.
Compact Voice works to represent the voluntary sector on the Compact, the agreement that sets out how public and voluntary sector organisations should behave towards each other.
Asked whether he planned to campaign for more force behind the Compact, which has been criticised as easy for both government and councils to ignore, Holbrook said: "One of the only ways to survive these challenging times is through strong partnership working.
"The Compact is a tried and tested tool for establishing cross-sector partnerships and has had some very notable successes, although I accept they have not been universal.
"I'm intending to promote the exemplars, evidence the benefits and to look to the future, rather than campaign or dwell on the past. Of course, the strategic direction will ultimately be set by the board and as such I’m looking forward to working with such a credible bunch of sector leaders."
Holbrook’s previous experience includes a nine-year stint as chief executive of the community development charity the Sunlight Development Trust.
Asked how his experience would help in his new role, he said: "I’ve chaired a few boards that are going through transition and think I can empathise with lots of organisations that are finding the current financial circumstances tough going and their relationships with statutory partners ever more critical."
He has been chief executive of SEUK since early 2010. His appointment at Compact Voice has no fixed end date.