A grease containing a lube base oil which comprises at least 50 mass% diester compound having a total carbon number of 28-40 represented by the general formula (I): R<SUP>1</SUP>OOC-(R<SUP>2</SUP>)<SUB>n</SUB>-COOR<SUP>3</SUP> (I) [wherein R<SUP>1</SUP> and R<SUP>3</SUP> each independently represents a C<SUB>4-20</SUB> monovalent aliphatic hydrocarbon group; R<SUP>2</SUP> represents a C<SUB>1-20</SUB> divalent hydrocarbon group; and n is 0 or 1]. This grease is excellent in both low-temperature performance and high-temperature performance and is reduced in oil separation even under high centrifugal force (acceleration). In particular, when the grease is used in a rotational transmission device having a built-in one-way clutch, the grease brings about satisfactory low-temperature clutch engagement (intermeshing) and a prolonged bearing life at high temperatures and is less apt to suffer oil separation under high centrifugal force.