Topological order is a way of arranging the vertices of a directed graph, specifically a Directed Acyclic Graph (DAG), so that for every directed edge from vertex A to vertex B, vertex A comes before vertex B in the ordering. This concept is useful in various applications, such as scheduling tasks where certain tasks must be completed before others. To find a topological order, algorithms like Kahn's algorithm or Depth-First Search (DFS) can be used. The result is a linear sequence of vertices that respects the dependencies represented by the edges, making it easier to manage complex relationships in data structures.