He graduated from the Czechoslovak Commercial Academy in Prague's New Town (1911) and worked as a bank clerk in the Kraków branch of the Prague Credit Bank from 1911 to 1919. From 1 November 1919 he was the head of the Bata company's accounting office in Zlín, where he was brought by his fiancée, Tomáš Bata's niece Božena Klausová. In 1925 he was appointed sole proxy of the Bata company. After Bata's death on 12 July 1932, he became, next to Ing. Hugo Vavrečka and later Josef Hlavnicka one of the directors of the concern. In August 1932 he was elected mayor of Zlín, and in 1938 mayor of Velky Zlín. From July 1932 to May 1945 at the latest, Dominik Čipera was one of the most influential personalities in the history of the Bata concern.

Dominik Čipera entered national politics as Minister of Public Works on 1 December 1938. Already in January 1939 he pushed through the project of the West-Eastern (Czech-Moravian) motorway, the construction of which started in two construction stages on 24 January 1939 (Zástřizly-Otrokovice) and 2 May 1939 (Chodov-Jihlava). In addition to depoliticizing the Ministry of Public Works and introducing elementary Bata principles of management and control, Čipera invested in long-term projects to reconstruct the district road network, to float selected sections of the Elbe and Vltava rivers, and to build the Knínická and Štěchovická dams. Čipera's more than three-year involvement in the governments of Rudolf Beran (1 December 1938 - 27 April 1939) and General Alois Eliáš (27 April 1939 - 19 January 1942) ended with the resignation of Eliáš's government. However, Čiper's support for the anti-Nazi resistance on the Moravian-Slovak border and his mayoralty in Zlín until September 1944 did not end.

The liberation of Zlín and the rise of the communists to power cost Čiper first the post of mayor of Zlín (12 May 1945), then concern director (13 May 1945), and finally his freedom, when he was imprisoned for two months after being accused of collaboration with the Nazis (16 June - 18 August 1945). With his health failing, he was treated in Poděbrady and on 27 March 1946 he finally left the national company Bata. Only a year later, on 2 May 1947, he was acquitted of the charge of collaboration, when his merits in support of the Slovak National Uprising and the partisan movement on the Moravian-Slovak border were recognized by the court. In the spring of 1948 he exchanged his Prague residence for a temporary refuge in Munich, from where he went to Canada in exile via London to join Tomáš J. Baťa. In December 1948 he was again indicted in the trial of former Bata directors and on 22 December 1948 he was sentenced in absentia to the loss of all his property and twelve years in prison. The sentence of the Extraordinary People's Court in Uherské Hradiště was overturned by the High Court in Prague on 6 May 1993. In November 1998, Čiper's descendants were issued a certificate of their father's participation in the anti-Nazi resistance. D. Čipera died in Canadian exile on 3 September 1963 at the age of 70.

Čipera was not far from the town of Bata in zruč, whose fate was decided by Čipera from the position of probably the most powerful manager of the Bata concern in the territory of the Protectorate of Bohemia and Moravia until 1945. From 1939 onwards, he built his ancestral residence at the castle in Býchory near Kolín nad Labem.