A flexible display apparatus comprising: a substrate; a plurality of display units disposed on the substrate, each of the plurality of display units comprising a thin film transistor including at least one inorganic layer (204, 206), a passivation layer disposed on the thin film transistor, and an organic light-emitting display device on the passivation layer and J 2. electrically connected to the thin film transistor, wherein the at least one inorganic layer (204, 206) comprises a first insulating layer between an active layer and a gate electrode of the thin film transistor, and a second insulating layer disposed on the gate electrode; and a plurality of encapsulation layers respectively encapsulating the plurality of display units, wherein the substrate comprises a plurality of islands spaced apart from one another, a plurality of substrate connection units that are connecting the plurality of islands to one another, and a plurality of through holes penetrating through the substrate between the plurality of substrate connection units, wherein the plurality of display units are disposed on the plurality of islands, respectively, wherein the at least one inorganic layer (204, 206) and the passivation layer extend on the plurality of connection units, wherein the passivation layer comprises a trench that exposes a portion of the first insulating layer or the second insulating layer, wherein the encapsulation layer contacts the exposed portion of the first insulating layer or second insulating layer via the trench, wherein the plurality of islands are repeated in a first direction and a second direction that is different from the first direction, wherein four connection units are connected to each of the plurality of islands, and wherein four connection units connected to one island from among the plurality of islands extend in different directions and are respectively connected to four adjacent islands that surround the one island wherein the four connection units comprise a pair of first connection units on opposite sides of the one island and each extending in the first direction, and a pair of second connection units on opposite sides of the one island and each extending in the second direction, wherein a first wiring unit is disposed on the two first connection units, and a second wiring unit is disposed on the two second connection units, and wherein the first wiring unit and the second wiring unit cross on the one island, and wherein the first and second wiring units are electrically connected to the display units. a substrate; a plurality of display units disposed on the substrate, each of the plurality of display units comprising a thin film transistor including at least one inorganic layer (204, 206), a passivation layer disposed on the thin film transistor, and an organic light-emitting display device on the passivation layer and J 2. electrically connected to the thin film transistor, wherein the at least one inorganic layer (204, 206) comprises a first insulating layer between an active layer and a gate electrode of the thin film transistor, and a second insulating layer disposed on the gate electrode; and a plurality of encapsulation layers respectively encapsulating the plurality of display units, wherein the substrate comprises a plurality of islands spaced apart from one another, a plurality of substrate connection units that are connecting the plurality of islands to one another, and a plurality of through holes penetrating through the substrate between the plurality of substrate connection units, wherein the plurality of display units are disposed on the plurality of islands, respectively, wherein the at least one inorganic layer (204, 206) and the passivation layer extend on the plurality of connection units, wherein the passivation layer comprises a trench that exposes a portion of the first insulating layer or the second insulating layer, wherein the encapsulation layer contacts the exposed portion of the first insulating layer or second insulating layer via the trench, wherein the plurality of islands are repeated in a first direction and a second direction that is different from the first direction, wherein four connection units are connected to each of the plurality of islands, and wherein four connection units connected to one island from among the plurality of islands extend in different directions and are respectively connected to four adjacent islands that surround the one island wherein the four connection units comprise a pair of first connection units on opposite sides of the one island and each extending in the first direction, and a pair of second connection units on opposite sides of the one island and each extending in the second direction, wherein a first wiring unit is disposed on the two first connection units, and a second wiring unit is disposed on the two second connection units, and wherein the first wiring unit and the second wiring unit cross on the one island, and wherein the first and second wiring units are electrically connected to the display units.