This camera supports an SD|SDHC|SDXC compatible memory cards, which is typical of many digital cameras of this type and age. SD cards are by far the most common type of memory card. They are compatible with the majority of digital cameras.
It may also be worth also looking at one of the other cameras that support an SD|SDHC|SDXC memory currently available including the Fujifilm X10[plb_1150_price] which has better reviews.
Digital cameras with a better memory card type that might also be worth considering include the Sony DSC-HX60[plb_2166574_price] (MicroSD (TransFlash)|MicroSDHC|MicroSDXC|MS Duo|MS Micro (M2)|MS PRO Duo|MS PRO Duo HS|MS Pro-HG Duo|MS XC-HG Duo|SD|SDHC|SDXC) which also has a higher rating.