We present a 128-channel analogue front-end chip SCTA128 for readout of silicon strip detectors employed in the inner tracking detectors of LHC experiments. The architecture of the chip and critical design issues are discussed. The performance of the chip has been evaluated in detail in bench tests and is presented in the paper. The chip is used to read out prototype analogue modules compatible in size, functionality and performance with the ATLAS SCT base line modules. Several full size detector modules equipped with SCTA128 chips have been built and tested successfully in the lab with E particles as well as in beam tests.