Free-fall experiments to test the weak equivalence principle are in progress at the drop tower in Bremen. The differential acceleration of two test masses made from different materials is being measured by means of a superconductingquantum-interference-device-(SQUID-) based sensing technique. These pseudo-Galilean tests are aimed at determining the Eötvös ratio to an accuracy of better than 10 −12. The free-fall height of the experimental capsules is 110 m, translating into an experimental time of about 4.5 s. The SQUID-based sensing system guarantees a high measuring resolution of 10 −12 m Hz −1/2 for the relative positions of the test masses.