Provost Cathy Muldoon paid tribute. She said:
"I'm very sad to hear of Councillor Borrowman's passing. Stuart was, without a doubt, an incredibly hard working councillor. Intelligent, articulate and driven - his work ethic and commitment to his area and his constituents was there for everyone to see.
"I know how highly respected Stuart was within the council and within his local community. I'd like to offer my sincere condolences to his family and close friends at this sad time."
The council's flag will be flown at half-mast today as a mark of respect.
Leader of West Lothian Council, Lawrence Fitzpatrick said:
"I am extremely saddened by Stuart's passing. I have known him for 30 years and he was a big personality and a very popular local councillor. It is hard to imagine the council without him.
"He was devoted to all of the communities within the Armadale and Blackridge ward, and his wealth of local government experience served West Lothian in so many different ways.
"Stuart will be fondly remembered for his leading role on both Armadale and Blackridge, Westrigg, and Westcraigs Children's Gala Day committees but his influence went much further. He was involved in so much and this all came from his love of his local area. He was also a published author - writing about what he loved most - his village.
"He was a proud Blackridge boy and it is very poignant that the Blackridge Gala Day takes place this weekend, an event Stuart loved and was so influential in organising.
"His other loves were Hearts FC, Armadale Thistle and, of course, his family, who he was so proud of.
"On behalf of everyone at West Lothian Council, I'd like to extend my sincere condolences to his wife, Aileen and family at this very sad time."
Councillor Borrowman represented the Armadale and Blackridge ward on West Lothian Council and served as an independent councillor.
He had been a councillor since 2003, when he was first elected to represent the Easton ward on West Lothian Council.
He was Chair of Development Management Committee and served on numerous other committees.