The project was funded and supported by Ipswich Borough Council, The National Lottery Heritage Fund, Arts Council England, Clore Duffield Foundation, Foyle Foundation, Garfield Weston, The Wolfson Foundation and the Friends of Ipswich Museum.
The council said the next phase of renovation will include the creation of new spaces, including research and conservation rooms.
A new staircase will also be built in the north wing corridor which will join up to the south wings.
Ipswich Museums
A new staircase is one of the new additions in the current redevelopment of the museum
Ms Jones said she was "very pleased" with the renovation work and said it will "help us to tell the story of Ipswich and its communities, past and present".
"This phase of the project also provides the scope to support an events and activity programme that will see the Museum become a dynamic, engaging cultural hub for residents and visitors alike," she added.
