The results of studying the laser vacuum welding of the elements of heatshielding structures made by dispersion-hardened alloys Ni-20Cr-6Al-Ti-Y 2 O 3 of increased strength are presented. Also, the designs of the heatinsulating elements which are of cellular (honeycomb) structure consisting of two plates with thickness from 0.1 to 0.14 mm with fillers inside are considered. It is shown that the shallow thickness of the plates and the complexity of the design significantly complicate the possibility to firmly connect these elements and do not allow to use the known methods like diffusion welding or vacuum soldering. It is concluded that laser welding providing satisfactory structural strength and reliability can be an alternative to known methods. Local heating at certain points prevents deformation of the parts to be joined