Pressure-sensitive adhesive for single- or double-sidedly tacky pressure-sensitive adhesive strips redetachable without residue or destruction both by extensive stretching substantially in the bond plane and by peeling, the pressure-sensitive adhesive being composed at least of (1) a vinylaromatic block copolymer, (2) a solid tackifying resin having a softening temperature by the ring-and-ball method of more than 30° C. and (3) a resin which is liquid at room temperature (23° C.), the fraction of liquid resin accounting for at least 40% by weight, based on the total amount of resin. Strips formed from the adhesive and the use of the strips to form redetachable bonds are also disclosed.