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In the paper, the new method Sapsan is described. It is designed for functional testing of parallel programs representing program interface the methods (procedures) of which can be invoked from several threads simultaneously. The Sapsan method makes it possible to verify one of the frequently used requirements to such programs, namely, the interface serializability requirement, which consists in that the result of parallel execution of the interface methods in several threads is equivalent to a certain sequential execution of these methods in the same state. In essence, this requirement is formalization of the widely used thread-safety term.