A new method for the asymmetric synthesis of anti-configured homopropargylic alcohols 1 is described, which features the addition of chiral sulfonimidoyl substituted bis(allyl)titanium complexes 3 to aldehydes, the methylation of sulfonimidoyl substituted homoallylic alcohols 2 at the N-atom, and the elimination of alkenyl (dimethylamino)sulfoxonium salts 7 with LiN(H)tBu. The reaction of isopropyl, cyclohexyl, and methyl substituted allylic titanium complexes 3a-c with benzaldehyde, p-bromobenzaldehyde, p-chlorobenzaldehyde, p-methoxybenzaldehyde, (E)-3-phenylpropenal, and phenylpropynal afforded with high regio- and diastereoselectivities the anti-configured sulfonimidoyl substituted homoallylic alcohols 2a-j, respectively. Only one allylic unit of the titanium complexes 3a-c was transferred in the case of unsaturated aldehydes, and the starting allylic sulfoximines 2a-g were recovered in approximately 50% yield. The methylation of the silyl protected alkenyl sulfoximines 6a-j with Me3OBF4 gave in practically quantitative yields the (dimethylamino)sulfoxonium salts 7a-j, respectively. Salts 7a-e, 7g, 7h, and 7j delivered upon treatment with 2 equiv of LiN(H)tBu the enantio- and diastereomerically pure saturated and unsaturated alkynes 9a-e, 9g, 9h, and 9j, respectively, in high yields. Besides the alkynes the sulfinamide 8 (96% ee) was isolated. Aminosulfoxonium salts 9f and 9i, which carry a CC triple bond, also suffered an elimination under these conditions but did not yield the corresponding diynes. Elimination of salts 7a-e, 7g, 7h, and 7j proceeds most likely through deprotonation at the alpha-position with formation of the novel alkylidenecarbene aminosulfoxonium ylides 19a-e, 19g, 19h, and 19j, respectively. The ylides 19a-e, 19g, 19h, and 19j presumably eliminate sulfinamide 8 with generation of the chiral nonracemic (beta-siloxyalkylidene)carbenes 20a-e, 20g, 20h, and 20j, which suffer a 1,2-H-shift with formation of alkynes 9. Support for the formation of the putative alkylidenecarbenes 20 as intermediates comes from the elimination of the beta-methyl substituted aminosulfoxonium salt 24, which delivered the enantio- and diastereomerically pure 2,3-dihydrofuran derivative 28 upon treatment with LiN(H)tBu in high yield. Here, the putative (beta-siloxyalkylidene)carbene 26 suffers a 1,5-O,Si bond insertion rather than a 1,2-Me shift. Methylation of the alkenyl sulfoximine 6a at the alpha-position with formation of 13 was achieved through deprotonation of the former with formation of the alpha-lithioalkenyl sulfoximine 11a and its treatment Mel. Reaction of the a-methylated alkenyl aminosulfoxonium salt 14a with LiNiPr2 at low temperatures gave the enantio- and diastereomerically pure anti-configured homoallenylic alcohol derivative 15, while reaction of the salt with LiN/Pr-2 or LiN(H)tBu at higher temperatures afforded the enantio- and diastereomerically pure nonterminal homopropargylic alcohol derivative 17. Deprotonation of the alkenyl (dimethylamino)sulfoxonium salts 7a and 7b with nBuLi afforded the novel alkylidenecarbene aminosulfoxonium ylides 19a and 19b, respectively, which upon treatment with Mel yielded the methylated aminosulfoxonium salts 14a and 14b, respectively.