Electropolishing (EP) offers a smoother surface, and that makes us expect h
igh gradients in superconducting niobium cavities. EP has a little bit comp
licated procedure and needs annealing to avoid the hydrogen Q-disease. On t
he other hand, chemical polishing (CP) is easier and cheaper, so widely use
d in many laboratories. For the conventional field gradients (approximate t
o 5 MV/m) in storage rings (TRISTAN-MR, HERA), no difference was seen on th
e cavity performance between EP and CP. In the high gradients research for
TESLA, we have to establish the surface treatment method which has a high r
eliability on the high gradients over than 25 MV/m and is cheaper in the pr
eparation cost. So far, CP has offered a nice cavity performance, but a con
cern on "European Headache" was developed recently on the high gradients at
Saclay. KEK has intensively investigated the difference between the effect
of CP and EP on high gradient performance since the last SRF workshop at S
aclay. In this investigation "European Headache" was also seen in chemicall
y polished cavities at KEK; in addition these cavities often showed a new Q
-degradation without X-ray signals which seriously limited the high gradien
ts. EP offers reliably high gradients over 30 MV/m. At the moment, EP seems
to have a superiority over CP for high gradients over 25 MV/m.