A transmission for a vehicle includes a main transmission (M) and a differential
gear mechanism (20). The main transmission has at least two rotating elements
(11, 12; 13, 14) each set to a different gear ratio, and the differential
gear mechanism has at least three elements (21, 22, 23). There are provided
first input means (C-1, C-2) which selectively inputs an input rotation
to two rotating elements of the main transmission, and second input means (1,
2, C-3; 1, 2, 4) which connects the two rotating elements to two elements
(21, 22) of the differential gear mechanism and inputs the input rotation
to the other at least one element (23). Since an intermediate gear ratio
with respect to an individual gear ratio is generated by two rotating elements
at a time of simultaneously transmitting power to two rotating elements, it is
possible to increase the number of shift speeds.