A study is made of the origin of thermocapillary instability on the wa
lls of a weld keyhole forming during the deep-penetration welding of m
etals by high-power laser radiation. Main physical factors generating
this instability have been identified and the conditions under which i
t occurs have been established in quantitative terms. The neutral (mon
otonic) stability curve relating the Marangoni critical number (or las
er radiation intensity) to wave disturbance parameters and to properti
es of the medium has been analytically calculated. lt is found that th
e simultaneous account of the thermocapillary effect and capillary dis
turbances of the free surface results in lowering of the melt stabilit
y threshold with respect to comparatively monotonic disturbances, espe
cially in the region of small wave numbers, Estimates of the critical
laser radiation intensity fall within the range 3-6 GW/m2 correspondin
g approximately to the conditions of deep-penetration laser welding of
metals.