A search for aligned events has been done throughout the muon groups events measured by Baksan Underground Scintillation Telescope ( BUST ) during a period of 7.7 years .
Only groups of multiplicity > 3 for muon threshold energy equal to 0.85 TeV were selected for the analysis .
A distribution of the events on alignment parameter \lambda has been obtained and compared with the results of Monte-Carlo simulation made for this experiment .
The upper limit for aligned muon event flux as low as 5.3 \cdot 10 ^ { -15 } cm ^ { -2 } sec ^ { -1 } sr ^ { -1 } is given .