Get the embed code from Stream

  1. In Stream, select Share from either the video page or when finding videos through search or browse.

  2. Select the Embed tab.

  3. Copy the embed code.

    Embed

Insert embed code into Sway

  1. Open Sway.

  2. Select Cards on the top navigation bar at the top of your Sway.

  3. Select Embed within the Cards pane, then paste your embed code to the new embed card that appears in the Storyline.

    Embed

Source: Microsoft