Cu-63 NMR measurements have been carried out in heavily-doped TlSr2CaC
u2O7-delta with T-c=70K, 52K and OK, respectively, and in lightly-dope
d TlSr2(Lu0.7Ca0.3)Cu2Oy with T-c=40K under a magnetic field of 11T. F
rom a systematic measurement of the nuclear-spin lattice relaxation ra
te, (63)(1/T-1), the antiferromagnetic (AF) spin correlation is suppre
ssed with increasing hole content, i.e. with decreasing T-c as in the
case of Tl2Ba2CuO6+y. From the Knight shift measurement, it has been f
ound that the T-independent behavior of the spin susceptibility above
T-c in heavily-doped system changes into a T-decreasing one in the lig
htly-doped TlSr2(Lu0.7Ca0.3)Cu2Oy, which is the same as in YBa2Cu3O6.6
3.