We have measured the sample length change of HTSC single crystals in t
he superconducting state in a magnetic field. The magnetic field was a
pplied parallel to the crystalline c-axis direction and was swept at a
constant rate of 10 mT/s up to 6 T. The sample length change was meas
ured along the ab-plane direction, i.e., perpendicular to the field. W
e have found for the Bi2Sr2CaCu2O8 single crystals that the relative s
ample length change (DELTAL/L) is extraordinarily large for a supercon
ductor, on the order of 10(-4). For the case of (La1-xSrx)2CuO4, the a
mount of magnetostriction was not as large as for the Bi system, but t
he magnetostriction curves had many similarities. For both compounds,
a relaxation phenomenon was observed when the field sweep was suspende
d at a certain field value. These observations are discussed in relati
on to flux line pinning.