Using a tunable single mode dye laser the hyperfine structure of the transition 5d 6s 2 2Ds, 2-5d 6s 6p 4Fs, 2 has been investigated for the Lu-isotopes Lu I vs and Lu ~ 7,. From our measurements the following values for the hyperfine constants A and B could be deduced Lu lv6 5d6s6p4Fs,2: The isotope shift between the line centers has been determined to be IS(176-175, 605.5 nm) = -420 (10) MHz.