There is a growing number of the non-English Web in recent years. So the language-dependent and user-based search paradigms are becoming increasingly important for search engines. Unfortunately, most of the works are available on web search analysis are still English-based. In order to understand the behavioural commonality and distinction of non-English users, we propose a framework for analysing the web search behaviours of users in a cross-lingual context. This framework is composed of 10 factors, which can be applied at the query level, session level and corpus level respectively. The integral employment of these factors could help us with characterising the user behaviour of web search, even in different languages, with regard to both statistical and semantic perspectives. This framework shows a better efficiency not only in revealing the commonality and distinction of web search, but also in informing the design of search paradigms in a cross-lingual scenario.