Mr Gillespie, who has more than 33 years' experience in the industry, will carry out the role over a three-year term.
As a key figure in the UK construction and home building sectors, Mr Gillespie has been responsible for the development and delivery of residential, commercial and infrastructure schemes both nationally and overseas.
Recently, he was Chief Operating Officer of Galliford Try where he oversaw revenues of more than £2 billion before he stood down from the Board in 2016.
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Speaking on his new role, Mr Gillespie said: "Having worked in the construction and home building sectors my whole life, I am delighted to represent an industry which is absolutely vital to the social and economic wellbeing of the people of Scotland.
"My philosophy is clear: whether public or private sector, local or national government, we all need to work together, positively and progressively, to an agreed common objective which should be increasing and accelerating housing supply across Scotland to meet the needs of our growing population."
HfS Chief Executive Nicola Barclay added: "This is a significant appointment for us. Ken's work consulting with a wide range of stakeholders, together with his knowledge and understanding of what is required to deliver complex projects (such as the Queensferry Crossing) within our communities, brings a new dimension and perspective to our organisation.
"Very much a facilitator and solutions-focused, his expertise will guide us forward as we look to increase our collaboration with those who can generate the change that is required to support the building of more homes, including government at all levels."
(LM)
