The local authority will re-examine the proposals after thousands of local residents signed an online petition calling for the proposals to be scrapped.
The cladding scheme, along with improving Inverness Castle, was included in the region's multi-million pound City Deal.
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Decisions for the future use of the castle as a tourist attraction are yet to be finalised following a recent consultation and this could also possibly have a bearing on the museum and art gallery.
However, Council Leader Margaret Davidson has now requested a pause and review of the plans.
"In the light of these very positive and exciting new developments, it is wise that we pause and review any current plans for the museum and art gallery," she said.
"It remains important that every pound we spend on regenerating the city centre gives us value for money and an outcome that everyone will be delighted with."
(LM)
