A transmission structure for a double sided lock, comprising: two driving members (1a, 1b), each of the two driving members (1a, 1b) having an axis and a protrusion (11a/11b) extending radially from an outer periphery of each of the two driving members (1a, 1b), a resilient member located between the two driving members (1a, 1b), each of the two driving members (1a, 1b) having a hole (13a/13b) defined centrally therethrough, each of the holes (13a, 13b) of the two driving members (1a, 1b) having a stop (131a, 131b); a first transmission unit having a shank extending from one end thereof and the shank extending through the holes (13a, 13b) of the two driving members (1a, 1b) along the axis, a first spring located between the first transmission unit and the stop of one of the two driving members (1a, 1b), and a second transmission unit having a tubular portion extending from one end thereof, the tubular portion extending through the holes (13a, 13b) of the two driving members (1a, 1b) along the axis, the shank being movably inserted in the tubular portion, the shank and the tubular portion being independent to each other, a second spring located between the second transmission unit and the stop of the other one of the two driving members (1a, 1b), wherein a gap is formed between the two driving members (1a, 1b), and the shank has a restriction member, the tubular portion has a restriction portion defined therein which restricts the restriction member from disengaging from the tubular portion, the transmission structure being characterized in that each of the holes (13a, 13b) of the two driving members (1a, 1b) has a slot (132a/132b) defined axially therein, the first transmission unit has a first tab extending therefrom which is located corresponding to the slot corresponding thereto, the second transmission unit has a second tab extending therefrom which is located corresponding to the slot corresponding thereto. two driving members (1a, 1b), each of the two driving members (1a, 1b) having an axis and a protrusion (11a/11b) extending radially from an outer periphery of each of the two driving members (1a, 1b), a resilient member located between the two driving members (1a, 1b), each of the two driving members (1a, 1b) having a hole (13a/13b) defined centrally therethrough, each of the holes (13a, 13b) of the two driving members (1a, 1b) having a stop (131a, 131b); a first transmission unit having a shank extending from one end thereof and the shank extending through the holes (13a, 13b) of the two driving members (1a, 1b) along the axis, a first spring located between the first transmission unit and the stop of one of the two driving members (1a, 1b), and a second transmission unit having a tubular portion extending from one end thereof, the tubular portion extending through the holes (13a, 13b) of the two driving members (1a, 1b) along the axis, the shank being movably inserted in the tubular portion, the shank and the tubular portion being independent to each other, a second spring located between the second transmission unit and the stop of the other one of the two driving members (1a, 1b), wherein a gap is formed between the two driving members (1a, 1b), and the shank has a restriction member, the tubular portion has a restriction portion defined therein which restricts the restriction member from disengaging from the tubular portion, the transmission structure being characterized in that each of the holes (13a, 13b) of the two driving members (1a, 1b) has a slot (132a/132b) defined axially therein, the first transmission unit has a first tab extending therefrom which is located corresponding to the slot corresponding thereto, the second transmission unit has a second tab extending therefrom which is located corresponding to the slot corresponding thereto.