A practical and stereoselectivesynthesis of the C(9)–C(24) subunit of (+)‐discodermolide has been achieved. The strategy featured the construction of the key intermediate Z‐trisubstituted vinyl iodide 12 from the dibromo‐olefin 6 via an efficient modified Tanino‐Miyashita's approach. The union of the two fragments was carried out through a Suzuki cross‐coupling reaction.