通过采用来自2MASS和Spitzer的单次红外多波段数据和来自ASAS和MACHO的8-10年光学波段数据，我们分析了从已发表的文献中收集的191颗大麦哲伦星云红超巨星样本和140颗小麦哲伦星云红超巨星样本。样本通过颜色-星等图、双色图和光变曲线形态证认，分别得到179颗和126颗红超巨星。基于光变性质主要分为五类：第一类属于测光质量不好的红超巨星，大麦哲伦星云和小麦哲伦星云中各包括20个；第二类属于复杂或不规则光变的红超巨星，分别包括49个和55个；第三类属于半规则光变的红超巨星，分别包括16个和6个；第四类属于具有可分辨短周期的长副周期红超巨星，分别包括31个和15个；第五类属于仅具有长副周期的红超巨星，分别包括63个和30个。数据的光变周期通过PDM、Period04、CLEAN和WWZ四种方法分析得出并进行交叉证认。对于半规则光变和具有可分辨短周期的长副周期红超巨星，我们分析了其Ks波段的周光关系，并和银河系及M33中红超巨星的周光关系进行了比较。结果证实，除了银河系外，其余三个星系中的RSGs都遵循相似的周光关系。此外，我们还得到了大小麦哲伦星云中可信的红超巨星红外多波段周光关系，其中包括2MASS JHKs，Spitzer/IRAC和Spitzer/MIPS 24 um波段。最紧密的周光关系出现在[3.6]和[4.5]波段。仅具有长副周期的红超巨星没有明显的周光关系。通过观测到的周光关系和理论计算的比较，我们认为红超巨星很有可能处于一阶脉动模式。大小麦哲伦星云和银河系三者的横向比较显示，脉动模式有可能依赖于金属丰度。

The infrared properties and light variations of Red Supergiant stars (RSGs) in the Large Magellanic Cloud (LMC) and Small Magellanic Cloud (SMC) are analyzed based on the one-epoch infrared photometric data collected by the 2MASS and Spitzer projects and the nearly 8-10 year long optical data collected by the ASAS and MACHO projects. The periods of identified 179 RSGs in LMC and 126 RSGs in SMC are classified into five categories accordingly: 20 and 20 with poor photometry, 49 and 55 with no reliable period, 16 and 6 with semi-regular variation, 31 and 15 with Long Secondary Period (LSP) and distinguishable short period, 63 and 30 with only LSP in LMC and SMC respectively. For the semi-regular variables and the LSP variables with distinguishable short period, the Ks band period-luminosity (P-L) relation is analyzed and compared with that of the Galaxy and M33. It is found that the RSGs in these galaxies obey similar P-L relation except the Galaxy. In addition, the P-L relations in the infrared bands, namely the 2MASS JHKs, Spitzer/IRAC and Spitzer/MIPS 24 um bands, are derived with high reliability. The best P-L relation occurs in the Spitzer/IRAC [3.6] and [4.5] bands. From the P-L relation, the mode of pulsation of RSGs is suggested to be in the first overtone radial mode and may related to the metallicity after comparing with the theoretical calculations.