Catheter puncture set comprising a tubular housing having an elongate housing portion which merges into an extension portion for guiding the puncture needle, with a blood-collection container, stop and blocking element, and from which a branch portion branches off at an angle, it being possible for a catheter to be pushed into the elongate housing portion via the branch portion, wherein a safety housing is connected in a releasable manner to the tubular housing, wherein the puncture needle is guided on or in this safety housing and an arresting means is provided for the puncture needle with blood-collection container, the puncture needle being retracted following the puncturing step, and therefore, following the puncturing step, the retraction of the puncture needle into the safety housing and the advancement of the catheter into the tubular housing, the safety housing along with the retracted puncture needle, with blood-collection container attached, arrested therein can be removed from the tubular housing, characterized in that - an arresting means fixes the puncture needle in a releasable manner in its pushed-in puncturing position on the safety housing or the tubular housing, wherein - the puncture needle is arrested by means of a movable arresting arm, which engages in a mount or acts on a fastening portion on the safety housing or on the tubular housing, - wherein this arresting means is released by virtue of the arresting arm being guided up to a handle-like needle guide as a result of these components being pressed together, and - the safety housing is connected in a releasable manner to the tubular housing by means of a further movable arresting arm which is arranged on the safety housing or on the tubular housing and which engages in a mount on the tubular housing or on the safety housing or acts on a fastening portion on the tubular housing or on the safety housing, - wherein this connection is released by virtue of the arresting arm being guided up to a handle-like retaining plate on the safety housing or on the tubular housing as a result of these components being pressed together. - an arresting means fixes the puncture needle in a releasable manner in its pushed-in puncturing position on the safety housing or the tubular housing, wherein - the puncture needle is arrested by means of a movable arresting arm, which engages in a mount or acts on a fastening portion on the safety housing or on the tubular housing, - wherein this arresting means is released by virtue of the arresting arm being guided up to a handle-like needle guide as a result of these components being pressed together, and - the safety housing is connected in a releasable manner to the tubular housing by means of a further movable arresting arm which is arranged on the safety housing or on the tubular housing and which engages in a mount on the tubular housing or on the safety housing or acts on a fastening portion on the tubular housing or on the safety housing, - wherein this connection is released by virtue of the arresting arm being guided up to a handle-like retaining plate on the safety housing or on the tubular housing as a result of these components being pressed together.