Connes was a member, according to M. Mashaal "Bourbaki: A secret society of mathematicians", AMS 2006 (translated from the French by A. Pierrehumbert). It says so on page 18; see the link. But, as was also mentioned there, there is a rule that members retire at age 50, so by that rule he is no longer a member.
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included a textual referrence for the case the link "dies"
Todd Trimble
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