A method, performed by a terminal (1d-01, 1e-01), for a random access in a wireless communication system, the method comprising: receiving, from a base station (1d-03, 1e-03), bandwidth part, BWP, configuration information including an identity, ID, of each of at least one downlink, DL, BWP and at least one uplink, UL, BWP for each of at least one serving cell; and performing a random access procedure on an active UL BWP of a serving cell based on the BWP configuration information, wherein performing of the random access procedure comprises: in case that the serving cell is a special cell and an ID of an active DL BWP of the serving cell is not same as an ID of the active UL BWP of the serving cell, switching the active DL BWP of the serving cell (1g-11) to a DL BWP of the serving cell with an ID same as the ID of the active UL BWP of the serving cell, and performing the random access procedure on the switched DL BWP (1g-13) of the serving cell and the active UL BWP of the serving cell; and in case that the serving cell is a secondary cell, SCell, performing the random access procedure on an active DL BWP (Ig-I5) of the special cell and the active UL BWP of the serving cell, wherein the special cell is a primary cell, PCell, or a primary secondary cell group cell. receiving, from a base station (1d-03, 1e-03), bandwidth part, BWP, configuration information including an identity, ID, of each of at least one downlink, DL, BWP and at least one uplink, UL, BWP for each of at least one serving cell; and performing a random access procedure on an active UL BWP of a serving cell based on the BWP configuration information, wherein performing of the random access procedure comprises: in case that the serving cell is a special cell and an ID of an active DL BWP of the serving cell is not same as an ID of the active UL BWP of the serving cell, switching the active DL BWP of the serving cell (1g-11) to a DL BWP of the serving cell with an ID same as the ID of the active UL BWP of the serving cell, and performing the random access procedure on the switched DL BWP (1g-13) of the serving cell and the active UL BWP of the serving cell; and in case that the serving cell is a secondary cell, SCell, performing the random access procedure on an active DL BWP (Ig-I5) of the special cell and the active UL BWP of the serving cell, in case that the serving cell is a special cell and an ID of an active DL BWP of the serving cell is not same as an ID of the active UL BWP of the serving cell, switching the active DL BWP of the serving cell (1g-11) to a DL BWP of the serving cell with an ID same as the ID of the active UL BWP of the serving cell, and performing the random access procedure on the switched DL BWP (1g-13) of the serving cell and the active UL BWP of the serving cell; and in case that the serving cell is a secondary cell, SCell, performing the random access procedure on an active DL BWP (Ig-I5) of the special cell and the active UL BWP of the serving cell, switching the active DL BWP of the serving cell (1g-11) to a DL BWP of the serving cell with an ID same as the ID of the active UL BWP of the serving cell, and performing the random access procedure on the switched DL BWP (1g-13) of the serving cell and the active UL BWP of the serving cell; and in case that the serving cell is a secondary cell, SCell, performing the random access procedure on an active DL BWP (Ig-I5) of the special cell and the active UL BWP of the serving cell, wherein the special cell is a primary cell, PCell, or a primary secondary cell group cell.