Niekraševič was born in the estate of Daniłoŭka in Minsk province of the Russian Empire (nowadays in Śvietłahorsk district of Homiel region of Belarus) into the family of a petty nobleman.

He accepted the authority of the Belarusian Democratic Republic and agreed to represent the Rada of the Belarusian Democratic Republic in southern Ukraine and, in particular, held negotiations with representatives of the French military in Odessa on behalf of the Rada.

[1] Niekraševič returned to Soviet Belarus around 1920 and became actively involved in establishing Belarusian schools and cultural institutions.

[2] In October 1929, the authorities of Soviet Belarus ordered "the dismissal of academic Vaclaŭ Lastoŭski from the duties of the Permanent Secretary of the Belarusian Academy of Sciences and academic Ściapan Niekraševič  from the duties of Vice President of the Belarusian Academy of Sciences" for allowing publications within the academy espousing “views that are completely incompatible with the policies of the Soviet government, and sometimes views hostile to the Soviet government”.

Niekraševič was posthumously exonerated first during the Khrushchev's Thaw in 1957 and completely during Gorbachev's Perestroika in 1988.