He received a Bachelor of Arts degree from Lund University in 1934 and studied at London School of Economics in 1935 and received a Licentiate of Philosophy degree from Lund University in 1936.
[1] Böök became lieutenant at Wendes Artillery Regiment's (A 3) reserve in 1935 and was hired by the Swedish National Bank in 1936 where he became secretary in 1937.
He was a member of the National Export Credits Guarantee Board in 1943 and deputy chairman from 1947 to 1951.
[1] His diplomatic career began when he was appointed head of the Commercial Department of the Ministry for Foreign Affairs and envoy from 1947 to 1948.
Böök was ambassador in New Delhi, also accredited to Colombo and Kathmandu from 1961 to 1965 and in Bern from 1965 to 1972.