We present the systematic experimental results of photoelectron spectr
a of Ar, Ne, and He in a strong KrF laser field. Above-threshold ioniz
ation (ATI) peaks up to the 6th order were clearly observed and the po
sitions of ATI peaks, including substructure, did not shift with laser
intensity. These facts can be explained by the multiphoton resonance
with Rydberg states. At a higher intensity, the continuum builds up bu
t the ATI structure is still apparent. Eventually, even this structure
is buried in the continuum, implying the tunnelling regime.