Below are sites that will help you find grants from both government and private funding sources.  Some may list only those grants that are currently accepting applications, while others provide forecasts of future opportunities.

Federal Sites

Catalog of Federal Domestic Assistance (CFDA)
The CFDA is a compendium of all federal programs, projects, and grants.

Federal Register
Federal grant opportunities are formally announced by publishing a Notice Inviting Applications in the Federal Register. You can search the daily publication by name of the granting agency.
Application packages and instructions for federal grant opportunities are posted on after the Federal Register notice has been published. Most allow between 30 and 45 days from the posting date to the submission deadline.  Click on Find Grant Opportunities to learn which federal grants are currently available.  All PCC application packages will be completed by the Grants Office.

National Endowment for the Humanities (NEH)
The NEH offers grants that support enhancement of the humanities content of existing academic programs or development of new programs in humanities disciplines.

National Science Foundation (NSF)
The NSF offers grant programs that support education in Science, Technology, Engineering and Mathematics (STEM). Most are offered annually. 

U.S. Department of Education (DOE)
The Department of Education offers funding for projects serving students in both secondary and postsecondary programs. Click on Programs to begin a search.

U.S. Dept. of Health and Human Services - Health Resources and Services Admin.
The Health Resources and Services Administration (HRSA) offers grants to support Health Professions Training Programs at colleges and universities.

U.S. Department of Labor - Employment and Training Administration (ETA)
ETA grant initiatives support development of new education and career training program strategies or replicating existing evidence-based strategies. Applications require partnerships with local businesses and the workforce investment system.

California Sites

California Community Colleges Chancellor's Office (CCCCO)
The Chancellor's Office does not post forecasts of grant opportunities, but does post current Requests for Applications once they have been distributed directly to member colleges.  Opportunities are posted on the appropriate CCCCO Division page, usually Academic Affairs or Workforce and Economic Development.

California Department of Education
Many of the opportunities listed in the Finance & Grants section of this site are the result of legislative mandates approved by the California State Assembly or State Senate.  Listings include both Available Funding and Projected Funding.

Foundation for California Community Colleges (FCCC)
This official foundation of the California Community Colleges' Board of Governors and Chancellor's Office seeks/manages funds from private charitable sources to benefit the California Community College system. FCCC initiatives include learning programs for at-risk students, workforce development programs, and health care education solutions.

Private Sites

The Foundation Center
This resource maintains a comprehensive database of private, corporate, and community foundations and their grant award history.  Use the Foundation Finder to obtain basic information on close to 550 foundations in the United States.