A Two-tier dual-channel supply chain consisting of a manufacturer and a retailer is constructed, in which the manufacturer supplies the retailer on the one hand and sells the products through the live channel on the other hand. Considering the ability of live webcast to attract offline retail traffic, the optimal decision of supply chain members is discussed in two cases: the webcast anchor has the pricing power of the live channel and the manufacturer has the pricing power of the live channel. It is found that the retail price and the live channel price are both higher when the manufacturer has the pricing power of the live channel than when the web-host has the pricing power of the live channel, and whoever has the pricing power of the live channel between the manufacturer and the web-host is more profitable in the live streaming. When the manufacturer has the channel pricing power and chooses the head anchor to carry the goods, the retailer has the phenomenon of "free-riding".