The most shade tolerant grasses for our area are some of the St. Augustine grass cultivars: ‘Delmar’, ‘Seville’, ‘Floraverde’ and ‘Captiva’. According to the University of Florida, even these shade tolerant varieties need 5 to 6 hours of sunlight to perform well.

See this fact sheet:

http://edis.ifas.ufl.edu/ep072

In areas that do not receive enough hours of sunlight to maintain healthy turf grass you might consider choosing other shade tolerant ground covers or, for areas that will receive a lot of foot traffic, mulches.

See this fact sheet for more information on ground covers:

http://edis.ifas.ufl.edu/eh138