Mr Lebedev was in the Volta Region capital on Monday to address the Annual Bar Conference of the Ghana Bar Association.
He is receiving treatment at the Ho Central Hospital, reports say. He is expected to be transported to Accra for further treatment.
Mr Lebedev is leading a four-member delegation, which was expected to meet President John Dramani Mahama on Tuesday.
The delegation was also expected to meet the Speaker of Parliament, Edward Doe Adjaho, on Tuesday.
The Russian Chief Justice has been head of the Supreme Court of the Russian Federation since 1989.
Previous positions he held within the Russian Judiciary include People’s Judge of District People’s Court of Moscow (1970-1977), Chairman of the District People’s Court of Moscow (1977-1984), Deputy Chairman of the Moscow City Court (1984-1986) and Chairman of the Moscow City Court (1986-1989).
He is a prolific writer who has written over 50 articles, commentaries and other publications on broadening access to justice, improving the effectiveness and quality of court work and also on problems related to the realization of judicial reforms in Russia.
In 2000 he published a book Formation and Development of the Judiciary in the Russian Federation.
He subsequently co-authored Commentaries on the Criminal Code of the Russian Federation and The Judiciary in Russia, a six-volume book which is generally recognized as the most authoritative publication on the history of the Judiciary in Russia.
It addresses matters such as the nomination of Judges to the Bench, Jurisprudence and Russian Law in general.
Mr Lebedev’s positive contribution to the Russian Judiciary has been recognized by his country.
In 1998, he received the State Order for Services to Fatherland of the 3rd Degree. On August 14, 2003, by the Decree of the President of the Russian Federation, he was also honoured with a State Order for Services to Fatherland of the 2nd Degree for his outstanding contribution to the strengthening of the Russian Judiciary and for many years of noble and diligent work.