Since the isolation of brevetoxin-B, a red tide toxin, many bioactive marine natural products featuring synthetically challenging trans-fused polycyclic ether ring systems have been reported. We have developed SmI(2)-induced cyclization of beta-alkoxyacrylate with aldehyde, affording 2,6-syn-2,3-trans-tetrahydropyran (THP) or 2,7-syn-2,3-trans-oxepane with complete stereoselection, as a key reaction of efficient iterative and bi-directional strategies for the construction of these polycyclic ethers. This reaction is also applicable to the synthesis of 3-, 5-, and 6-methyl-THPs and 3,5-dimethyl-THP. The synthesis of 2-methyl- and 2,6-dimethyl-THPs was accomplished by means of a unique methyl insertion. Recently, the SmI(2)-induced cyclization was extended to similar reactions using beta-alkoxyvinyl sulfone and sulfoxide. Reaction of (E)- and (Z)-beta-alkoxyvinyl sulfone-aldehyde afforded 2,6-syn-2,3-trans- and 2,6-syn-2,3-cis- THPs, respectively. Reaction of (E)-beta-alkoxyvinyl (R)- and (S)-sulfoxides gave 2,6-anti-2,3-cis- and 2,6-syn-2,3-trans-THPs, respectively. Reaction of (Z)-beta-alkoxyvinyl (R)-sulfoxides gave 2,6-syn-2,3-cis-THP and an olefinic product, while that of (Z)-beta-alkoxyvinyl (S)-sulfoxide afforded a mixture of many products. These SmI(2)-induced cyclizations have been applied to the total syntheses of various natural products, including brevetoxin-B, mucocin, pyranicin, and pyragonicin. Synthetic studies on gambierol and maitotoxin are also introduced.