A dental implant system comprising: - an insertion part of a two-part dental implant, which insertion part is elongated in shape and, viewed in the longitudinal direction, composed of, on the one hand, a screw part, which is provided, over at least part of the length thereof, with an external screw thread, and, on the other hand, a neck part which is located at one of the ends of the insertion part and which comprises a recess in the neck end face thereof which is suitable for fixing an abutment, healing cap or a similar insertion element, which neck part is provided, at some distance from the neck end face, with one or more projections which are situated at the circumference of the neck and which extend in the radial direction, and - an insertion instrument for screwing down the insertion part of the two-part dental implant, which insertion instrument comprises a drivable elongated handle part which ends in a socket part having a socket end face extending substantially perpendicularly to the longitudinal axis of the handle part, which socket part has an opening which terminates at the socket end face, and at least the driving part of which is laterally bounded by one or more walls, which driving part of the opening has a cross-section at right angles to said longitudinal axis, which cross-section is not circular and the shape and dimensions of which are suitable to at least partly accommodate the neck part of the insertion part, and to transfer the tightening torque applied to the handle part to the insertion part through said projections, whereby the opening of the insertion instrument is provided with a bridge part which is contiguous to the side of the driving part facing towards the inside of the opening, characterized in that: a) the insertion part is made entirely or substantially entirely of zirconium oxide-containing material, b) the bridge part which encloses the neck part situated next to the projections, extends up to the neck end face, and such that there is an interspace between said bridge part and said neck part, when the driving part of the opening embraces the projections of the neck part, and c) with respect to the longitudinal axis of the insertion instrument, the bridge part which encloses said neck part is laterally widened with respect to the driving part, in any radial direction with respect to said longitudinal axis. - an insertion part of a two-part dental implant, which insertion part is elongated in shape and, viewed in the longitudinal direction, composed of, on the one hand, a screw part, which is provided, over at least part of the length thereof, with an external screw thread, and, on the other hand, a neck part which is located at one of the ends of the insertion part and which comprises a recess in the neck end face thereof which is suitable for fixing an abutment, healing cap or a similar insertion element, which neck part is provided, at some distance from the neck end face, with one or more projections which are situated at the circumference of the neck and which extend in the radial direction, and - an insertion instrument for screwing down the insertion part of the two-part dental implant, which insertion instrument comprises a drivable elongated handle part which ends in a socket part having a socket end face extending substantially perpendicularly to the longitudinal axis of the handle part, which socket part has an opening which terminates at the socket end face, and at least the driving part of which is laterally bounded by one or more walls, which driving part of the opening has a cross-section at right angles to said longitudinal axis, which cross-section is not circular and the shape and dimensions of which are suitable to at least partly accommodate the neck part of the insertion part, and to transfer the tightening torque applied to the handle part to the insertion part through said projections, whereby the opening of the insertion instrument is provided with a bridge part which is contiguous to the side of the driving part facing towards the inside of the opening, characterized in that: a) the insertion part is made entirely or substantially entirely of zirconium oxide-containing material, b) the bridge part which encloses the neck part situated next to the projections, extends up to the neck end face, and such that there is an interspace between said bridge part and said neck part, when the driving part of the opening embraces the projections of the neck part, and c) with respect to the longitudinal axis of the insertion instrument, the bridge part which encloses said neck part is laterally widened with respect to the driving part, in any radial direction with respect to said longitudinal axis. a) the insertion part is made entirely or substantially entirely of zirconium oxide-containing material, b) the bridge part which encloses the neck part situated next to the projections, extends up to the neck end face, and such that there is an interspace between said bridge part and said neck part, when the driving part of the opening embraces the projections of the neck part, and c) with respect to the longitudinal axis of the insertion instrument, the bridge part which encloses said neck part is laterally widened with respect to the driving part, in any radial direction with respect to said longitudinal axis.