An automated biological sample analysis system and method for use in incubating and analyzing multiple samples for protein crystallization. A temperature controlled cabinet houses sample storage, sample transport, and sample imaging systems. The operation of the system is automated and can be controlled by software, which can be reconfigured remotely. An array of storage shelves includes multiple shelf columns arranged around a core. Multiple banks of removable shelves arranged as magazines are accessed through a door on the cabinet. Each shelf stores a multi-well plate and different sizes can be stored in different shelves. The core houses a sample transport system that includes a multi-axis robot that rotates about a vertical axis to access the shelves in the shelf array. The transport system retrieves and replaces the multi-well plates in the shelves and can move plates from the shelves to an imaging system where each sample can be automatically imaged.