The reopening at the landmark attraction saw the launch of a new exhibition.
Councillor Garry Perry, portfolio holder for community, leisure and culture, said: "It is great to see the Walsall 100 exhibition there showcasing the breadth of our borough’s industrial contribution and creativity over so many years – it’s well worth a visit.
“Building on our successful approach in restarting our library services, our focus on re-opening is to proceed very carefully and safely, and staying in step with our neighbouring authorities.
"Museum staff are adhering to official guidance and recommended best practice and risk assessments have taken place.
"We are adopting a phased approach and will seek to learn from our initial opening phase and the emerging national picture.”
People will be able to explore the museum galleries telling the story of Walsall’s leather industry from its beginnings up to the present day, its workshops laid out in an actual leather factory setting, showing the stages from tannery, to belts and bridles and how they were made and a “Walsall 100” exhibition, showcasing the range of goods manufactured in Walsall as the “Town of 100 Trades” from some of its industrial companies through to today’s firms.
The museum shop will be open, but there will be no coffee shop facility or refreshments in the short term.
Admission to the Leather Museum is free.
As of Saturday all visitors to museums and galleries will be expected to wear face coverings, unless exempt from doing so.