Fritz Kraemer was born on 12 December, 1900 in Stettin, Germany. Straight out of school, at the age of 18, Kraemer joined the Wehrmacht. After four years he left and joined the Prussian police force.

On 1 October, 1934 he left the polizei, and rejoined the Heer with the rank of Oberleutnant. He graduated from the Berlin War Academy in May 1935, and by 1936 he was appointed the commander of 5.Kompanie/Infanterieregiment 55. In March, 1939 he was reassigned as the Ib of the 13. Infanterie Division (mot).

Kraemer won the Iron Cross second class on 6 October, 1939 for his actions in Poland, and on 26 May, 1940 the Iron Cross first class for his actions in France. On 11 October he was promoted to Ia of the 13. Infanterie Division, and on that very same day the 13. Infanterie Division was reorganized into the 13. Panzerdivision.

As the Ia of 13. Panzerdivision he served in Russia, winning the the German Cross in Gold on 26 Febuary, 1942 and the Knights Cross on 17 December of the same year. In January 1943, Josef "sepp" Dietrich selected Fritz Kraemer as the senior administrative officer (Ia) of the I.SS-Panzer Korp. He was to prove to be a ideal choice. On loan from the Heer, he was given the rank of SS-Oberführer on 1 September, 1943, and officially admitted into the SS on 1 August, 1944 with the rank of SS-Brigadeführer. During the battles in Normandy, Kraemer at times would deputise for Dietrich, and would suceeded Hubert Meyer as commander of the 12.SS-Panzerdivision "Hitlerjugend" on 24 October, 1944. On 13 Novemember SS-Brigadeführer Kraemer was transferred to the reserve, and Hugo Kraas assumed command of the division two days later. For the remainder of the war, he served as Dietrich's Ia with the 6.Panzerarmee (later renamed 6.SS-Panzerarmee).

Kraemer surrenderd to the American's, and along with Deitrich, was branded a criminal of war for the Malmedy Massacre. He was tried at Dachau in 1946 and was sentenced to a ten year imprisonment. Following his release, he lived in Höxter, Germany until his death on 23 June, 1959. SS-Brigadeführer Fitz Kraemer was buried with full military honors.