We analyse the optimal location choice of a monopolistic firm that operates two arbitrarily located platforms on a two‐sided market. By extending the traditional Hotelling framework, we show that the optimal platform locations are equivalent to the one‐sided benchmark if both sides are either restricted to single‐ or multi‐homing. In the mixed case (one side single‐homes, the other one multi‐homes), the optimal platform locations are in line with the respective symmetric case. If the monopolist is restricted to choosing the same location on either side of the market, the optimal locations are determined by the relative profitability of the market sides.