In a method and device for drilling, in particular impact drilling or rotary percussion drilling, a hole in soil or rock material and forming an anchorage in the hole, wherein a bore hole is formed by the introduction of a drill bit, it is provided that the drill rod assembly of the drilling device includes at least one expandable element having at least one hollow space extending substantially in the longitudinal direction of the bore for introducing a fluid under pressure to at least partially widen the outer periphery of the expandable element, and/or the drill rod assembly is connected with at least one expandable element each including at least one hollow space substantially extending in the longitudinal direction of the bore for introducing a fluid under pressure to widen the outer periphery, thus ensuring a safe anchorage by the expansion of the expandable elements both over the periphery and over the length of the device at a simplified overall construction.