This camera supports an SD|SDHC|SDXC memory card, which is the most commonly supported memory card on cameras of this spec and age. SD cards are by far the most common type of memory card. They are compatible with the majority of digital cameras.
There are a number of alternative digital cameras that support an SD|SDHC|SDXC memory currently available that you might also want to look at including because of it's better review score, the Fujifilm XQ1, the Nikon Coolpix S6800, or the GE G100 ($247.58).
If the memory card type of this camera is not good enough for you then you might want to consider the DSC-WX350 ($267.99) (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), or the DSC-WX220 ($64.95) (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) both from Sony which also has a higher rating.