In this paper we present a measurement system for in vivo multichannel recordings of the electro-physiological activity of brain tissue. The system consists of penetrating Microelectrode Array (MEA), three versions of a Conditioning Module each equipped with different Application Specific Integrated Circuits (ASIC), Digitizer and PC Application for recorded data presentation and storage. The MEA consists of 64 15 mu m diameter microelectrodes. The multichannel ASICs amplify and filter field and action potential signals. The custom-made Digitizer Module simultaneously acquires data from all channels with a 14 kS/s sample rate and 12 bit resolution. The resulting byte stream (about 2 MB/s) is transmitted to the PC via USB (Universal Serial Bus). Eventually the measurement data is decoded, presented to the system user and stored on a HDD. Preliminary system tests confirm its excellent performance (low input refereed noise, low power consumption, low area occupancy, ability of Action Potentials/Local Field Potentials separation). Our system equipped with multichannel ASICs meets requirements of many different neurobiology experiments.