Moore, 40, is a senior coach at Australia's Commonwealth Centre of Excellence.
He is a former player for New South Wales in the Australian first-class competition and was assistant coach to the Australian team at the Under-19 World Cup in Bangladesh earlier this year.
"Moore's experience and training in coach education and cricket development will also be a tremendous asset to the development of cricket throughout the region," the cricket board said.
The West Indies' next matches will be a limited overs series with Australia and New Zealand in January. They then return home for five Tests and five one-day internationals against South Africa in April and May, followed by two tests and five one-day matches against Pakistan in May and June.