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Binary and multiple systems are important parts of the stellar population. Depending on the observational method, they might have various sets of observational parameters, identification systems and designations in different catalogues. Thus, it is necessary to identify an object in different datasets. This could be done with a unified catalogue containing all binary and multiple systems with proper cross-identification. This catalogue is named an index catalogue of the Binary Star Database (BDB)—Identification List of Binaries (ILB). Though there still remains the necessity of updating the catalogue, in particular, the results of the Gaia mission could significantly augment its data. This work focuses on developing an optimal cross-match algorithm for the ILB and Gaia-based data.