An apparatus for manufacturing concrete columns, having a concrete-gunning unit (1) and a column-grinding unit (2) , the gunning unit having a gun (4) moving along a vertical boom (3) and a grinding disc (5), by means of which a concrete column is manufactured by gunning a concrete mix against a specific blank rotating about its axis (6), whereafter the hardened column is transferred to the grinding unit (2), where the surface of the concrete column is ground and polished by means of a second grinding device (8), moving along a vertical boom (7). Both the gunning unit and the grinding unit have tilting devices (9, 10) by means of which the vertical booms (3, 7) can be tilted relative to the axis (11) of the concrete column so that conical columns are produced.