It's difficult to say that it's a secular constitution. It says it's secular but it does have the Muslim invocation, which is religious. I don't think that it is a secular constitution as such, but the more egregious things have been removed. But removing from the constitution and the government's wholehearted support of a secular society are two different things. It is very difficult for any party that is in power in Bangladesh to be totally secular. The political culture of the place has changed.
On March 26th, 2015. See this statement in context.