The messages left in the books at the Civic Centre, Low Hill Community Hub and online will be collated and presented to Councillor Brookfield's family in due course.
Councillor Brookfield, who was the Leader of the City of Wolverhampton Council, passed away on Sunday 2 July after a brave battle with cancer. He was 57.
Acting Leader of the Council, Councillor Stephen Simkins, said: "We received many, many messages of support, love, gratitude and appreciation from across the city and across the country, with friends, colleagues and residents all paying tribute to Ian, and I would like to thank everyone who has shared their feelings in this way.
"We will be presenting the books of condolence to Ian's family when the time is right and we hope that they will provide some sort of comfort to them at this terribly difficult time."
The council plans to hold a civic event in the autumn to celebrate the life and political career of Councillor Brookfield, and details will be announced in due course.
