Museums Australia delivers the following grant programs:

• Exhibition Services Grants - APPLICATIONS NOW OPEN FOR 2012
  Exhibition Services aims to develop the awareness and value of Victoria’s museums and galleries by encouraging these organisations to develop static and touring exhibitions to promote the stories of rich and diverse collections across Victoria to a broad audience.
• Museum Assistance Grants - NO LONGER AVAILABLE
  MA(Vic) Assistance Grants enhance the preservation of collections, collection management and community access in public museums and galleries.

STOP PRESS: No Funding for MA (Vic) for 2011 Museum Assistance Grants [more information]

The Exhibition Grants program is supported by the Victorian Government through Arts Victoria.

Other places to seek project funding:

Arts Victoria
Local History Grants
Heritage Victoria
National Library of Australia
Maritime Museum Grants

For general listings of grants, see Collections Australia Network and the Guide to Grants from Heritage Victoria.