Bohoslovska was born in Kharkiv on 5 August 1960. She is married and lives with her daughter and grandson. Her father was a member of the Soviet military and worked as a teacher at a local high school; her mother was a lawyer. In 1982 Inna Bohoslovska graduated with distinction from the Kharkiv Legal Institute. In the same year Inna began practical work as the lawyer as a member of Bar of the Kharkiv Region. Working as a defender, Inna presided on numerous civil and criminal defence cases. In 1989 Inna Bohoslovska undertook correspondence postgraduate study at the Institution of the State and Rights at the Academy of Sciences of the USSR. In 1990 she participated in a Soviet-American conference on protection of human rights. Following the conference, Inna was invited to study in the United States. However her position concerning influence of the state on judicial system mismatched the then pro-Soviet ideology of a management of institute and she had to reject the invitation at the time. In 1992 Inna Bohoslovska was appointed to the legal board of the state Duma - an advisory body to the President of Ukraine. Issues addressed included discussion and the analysis of various bills, an expert estimation of various legislative initiatives. Inna Bohoslovska was recognised in Ukraine as a successful lawyer in her own right, not only winning a majority of litigations, but also demonstrating her ability and willingness to be a creative progressive thinker and a good understanding of economic and politics. She was one of the youngest members appointed to the structure of the state Duma. In 1998 Bohoslovska decided become actively involved in politics in Ukraine. During pre-election campaign for the Verkhovna Rada Bohoslovska stood for election as a representative of the local constituency in a Kharkov in the district in which she was born, went to school and now lives with her family and daughter. Inna Bohoslovska, facing stiff competition from 14 other male candidates, managed to secure 34% of the vote—twice the support given to her nearest competitors, which included the leader of the city organization of the Communist Party, one of leaders of the Socialist Party and the leader of the Social-Liberal Association. The policies advocated by Bohoslovska were based on the need for the state to carrying out much needed tax, budgetary and administrative reforms. Having worked in the extensively in formation, development and preparation of government policy and legislation, Inna Bohoslovska was asked to become one of the founding members of the Party Viche and was subsequently elected as the first Chairman of the party in 2003. On 3 August 2007, Bohoslovska and other leaders of the party decided to participate in the 2007 parliamentary elections within Party of Regionsparty list. Ihor Didkovsky was elected as a new party leader. The party considered a merge into Party of Regions in 2007 and did not participate in the 2007 election. May 2009 Bohoslovska quit the Party of Regions and participated in the presidential election of the next year. Bohoslovska was excluded from the structure of the Party of Regions faction by decision of the political council of the Party of Regions in June 2009. Soon after Bohoslovska became the leader of Viche again. Bohoslovska’s 2010 campaign centred mostly on criticizing Yulia Tymoshenko. During the 2010 election she received 0,41% of the votes. Bohoslovska rejoined the Party of Regions faction in October 2010. In 2012 she was re-elected into parliament on the party list of Party of Regions. Following a violent crackdown on protesters in Kiev on 30 November 2013, Bohoslovska left Viktor Yanukovych’s Party of Regions in protest, calling for the President's resignation. Bohoslovska did not participate in the 2014 Ukrainian parliamentary election.
Unsanctioned representation of a parliament plenipotentiary abroad
On 9–10 April 2012 Bohoslovska visited Brussels with an official visit to the European Parliament as a representative of the temporary investigation commission of the Ukrainian parliament. Departing on her initiated after filing an authorization petition to the speaker of parliamentVolodymyr Lytvyn, she never received a positive reply.