A band pressing device in an edge banding machine including a glue applying roller includes first and second resilient members. The first resilient member has a first resilient section spaced apart from the glue applying roller at a first distance. The first resilient section generates a first biasing force pressing an edge band against the glue applying roller when the edge band has a thickness larger than the first distance. The second resilient member has a second resilient section spaced apart from the first resilient section at a second distance. The second resilient section generates a second biasing force pressing the first resilient section against the edge band when the first resilient section is deformed to deform the second resilient section.