The term minimum distance may refer to

• Minimum distance estimation, a statistical method for fitting a model to data
• Closest pair of points problem, the algorithmic problem of finding two points that have the minimum distance among a larger set of points
• Euclidean distance, the minimum length of any curve between two points in the plane
• Shortest path problem, the minimum length of a path between two points in a graph
• The minimum distance of a block code in coding theory, the smallest Hamming distance between any two of its code words