In this article, an inversion formula is obtained for the spherical transform which integrates functions, defined on the unit sphere $$S^{2}$$ S 2 , on circles. The inversion formula is for the case where the circles of integration are obtained by intersections of $$S^{2}$$ S 2 with hyperplanes passing through a common point $$\overline{a}$$ a ¯ strictly inside $$S^{2}$$ S 2 . In particular, this yields inversion formulas for two well-known special cases. The first inversion formula is for the special case where the family of circles of integration consists of great circles; this formula is obtained by taking $$\overline{a} = 0$$ a ¯ = 0 . The second inversion formula is for the special case where the circles of integration pass through a common point $$p$$ p on $$S^{2}$$ S 2 ; this formula is obtained by taking the limit $$\overline{a}\rightarrow p$$ a ¯ → p .