Wildlife Corridors Conservation Act of 2019 This bill provides for the conservation and restoration of habitats that facilitate the movement of certain native or noninvasive species (e.g., fish, wildlife, or plant species) that may be at risk due to habitat loss or fragmentation. The bill establishes a National Wildlife Corridor System and provides for the designation and management of such corridors on federal land and water. A corridor means a feature of the landscape or seascape that (1) provides habitat or ecological connectivity, and (2) allows for movement or dispersal of native or noninvasive fish, wildlife, or plants. Indian tribes may nominate a corridor within their land to be included in a Tribal Wildlife Corridor. In addition, the bill establishes a Wildlife Corridors Stewardship Fund to receive donations for the management and protection of the corridors. It also establishes a wildlife movements grant program to encourage the passage of fish, wildlife, or plant species across a landscape or seascape. The National Coordination Committee, established by this bill, must recommend projects to fund under the grant program. The committee must also develop standards for regional wildlife movement plans to allow for better cross-regional collaboration. No fewer than four regional wildlife movement councils must be established. Among other things, the councils must submit to the committee regional wildlife movement plans as well as lists of funding priorities. Finally, the U.S. Geological Survey must establish a National Wildlife Corridors Database.