An intake device of an engine comprises an intercooler, an intake passage including a downstream-side intake passage, and an EGR passage recirculating exhaust gas to the downstream-side intake passage. An intake-air supply opening having an opening area smaller than an area of a downstream-side face of an intercooler core is provided at a downstream side wall of a chamber. The downstream-side intake passage includes an extension passage portion extending upwardly along the downstream side wall. The intake-air supply opening includes an upper edge portion which separates the intake air flowing from an inside wall face of the extension passage portion and forms flowing main streams of the intake air inside the extension passage portion. EGR introduction ports are arranged at positions capable of supplying the EGR gas toward the flowing main streams.