This research focuses on the learning of syntactic infor- mation of natural language. One successful approach to learning of syntax searches for substitutable parts in a plain text corpus and marks them as possible constituents. Alignment-Based Learning (ABL) is a system that implements this approach and extends it with a probabi- listic disambiguation phase. Currently, the main problem with ABL is that finding the possible constituents is relatively slow, which restricts the system to small corpora. The aim of this research is to speed-up the search for possible constituents, which will allow handling of large corpora. We expect that large corpora will improve accuracy of the learning system, since not only more pos- sible constituents can be found, but also more precise statistics can be applied in the disambiguation phase. We introduce suffix trees and show their merits in this task. Preliminary results show that although this approach seems to yield lower recall, the learning process itself is significantly faster.