We report the observations of 12 globular clusters with the Far-Infrared Surveyor ( FIS ) on-board AKARI infrared satellite . Our goal is to search for emission from the cold dust within clusters . We detect diffuse emissions toward NGC 6402 and 2808 , but the IRAS 100 \mu m maps show the presence of strong background radiation . They are likely emitted from the galactic cirrus , while we can not rule out the possible association of a bump of emission with the cluster in the case of NGC 6402 . We also detect 28 point-like sources mainly in the WIDE-S images ( 90 ~ { } \micron ) . At least several of them are not associated with the clusters but background galaxies based on some external catalogs . We present the spectral energy distributions ( SEDs ) by combining the near-and-mid infrared data obtained with the Infrared Camera ( IRC ) if possible . The SEDs suggest that most of the point sources are background galaxies . We find one candidate of the intracluster dust which has no mid-infrared counterpart unlike the other point-like sources , although some features such as its point-like appearance should be explained before we conclude its intracluster origin . For most of the other clusters , we have confirmed the lack of the intracluster dust . We evaluate upper limits of the intracluster dust mass to be between 10 ^ { -5 } and 10 ^ { -3 } M _ { \odot } depending on the dust temperature . The lifetime of the intracluster dust inferred from the upper limits is shorter than 5 Myr ( T _ { \mathrm { d } } = 70 K ) or 50 Myr ( 35 K ) . Such short lifetime indicates some mechanism ( s ) are at work to remove the intracluster dust . We also discuss its impact on the chemical evolution of globular clusters .