McAlister will join the Southampton-based line in August after 24 years at Tui.
Carnival UK president Sture Myrmell said: “We are delighted to have someone of Katie’s calibre join Cunard at this vital time of expansion.
“Her commercial and operational experience as well as digital transformation expertise and strategic oversight will build on the current team’s exceptional work to ensure that Cunard’s brand and growth opportunities are maximised as we look forward to the introduction of Queen Anne next year.”