A nucleic acid molecule, which binds to SDF-1, which comprises, in the 5 '->; 3' direction, a first stretch of nucleotides, a central nucleotide sequence and a second stretch of nucleotides, or a second stretch of nucleotides, a central nucleotide sequence and a first stretch of nucleotides, in which the length of the nucleic acid molecule is 20 to 50 nucleotides, in which the nucleic acid molecule is selected from the group consisting of acid molecules type A nucleic acids, type B nucleic acid molecules, type C nucleic acid molecules and nucleic acid molecules having a nucleic acid sequence according to any of SEQ ID NO: 142, SEQ ID NO: 143 and SEQ ID NO : 144; in which type A nucleic acid molecules comprise the following central nucleotide sequence: 5 'AAAGYRACAHGUMAAXAUGAAAGGUARC 3' (SEQ ID NO: 19) in which XA is absent or is A, and in which the first stretch of nucleotides of the type A nucleic acid molecules comprises a 5 'X1X2NNBV 3' nucleotide sequence (SEQ ID NO: 44) and the second nucleotide segment of type A nucleic acid molecules comprises a 5 'nucleotide sequence BNBNX3X4 3 '(SEQ ID NO: 45), in which X1 is absent or is R, X2 is S, X3 is S, and X4 is absent or is Y; or X1 is absent, X2 is absent or is S, X3 is absent or is S, and X4 is absent; in which the type B nucleic acid molecules comprise the following central nucleotide sequence: 5 'GUGUGAUCUAGAUGUADWGGCUGWUCCUAGUYAGG 3' (SEQ ID NO: 57), and in which the first nucleotide segment of the type B nucleic acid molecules it comprises a 5 'X1X2SVNS 3' nucleotide sequence (SEQ ID NO: 77) and the second nucleotide segment of type B nucleic acid molecules comprises a 5 'BVBSX3X4 3' nucleotide sequence (SEQ ID NO: 78), in which X1 is absent or is A, X2 is G, X3 is C, and X4 is absent or is U, or X1 is absent, X2 is absent or is G, X3 is absent or is C, and X4 he's absent; in which type C nucleic acid molecules comprise the following central nucleotide sequence: GGUYAGGGCUHRXAAGUCGG (SEQ ID NO: 90), in which