The Møller family moved to Svendborg on Funen after having lost a power struggle against Anna's sisters and their husbands.

[3] A. P. Møller married American Chastine Mc-Kinney, with whom he had two sons, Arnold and Hans, and two daughters, Jane and Sally.

The First World War was a very lucrative period for the shipping business, and A. P. Møller managed to take full advantage of the opportunities.

[3] During the Occupation of Denmark from 1940 to 1945, Mærsk Mc-Kinney Møller ran a substantial part of the company from the United States.

But the family lost a great deal of money because the US government would not pay full compensation for the use of their ships during the war.