We consider possible manifestations of the gravitational lensing of cosmic
gamma-ray bursts on objects of a globular cluster type (mesolensing). Two c
haracteristic patterns of such a phenomenon are classified, and their obser
vational features are discussed. Using the data of the BATSE catalog, we ha
ve searched for gamma-ray bursts that probably underwent mesolensing. The p
robability of recording mesolensed gamma-ray bursts is estimated.