The implementation of military transportation by all types of transport involves planning, management, deployment of transport communications, distribution and preparation of types of transport, organization of the transportation of troops and military property, evacuation of the wounded and sick, damaged weapons and military equipment, and trophy property. As a result of these actions, the issue of timely delivery of material and technical means with the lowest costs should be resolved. The solution to the multimodal (three-index biplanar) transportation problem is presented to find the rational distribution and delivery of material and technical means. The proposed solution considers the limitations of logistics indicators, such as delivery time, the available carrying capacity of different types of vehicles, the total cost of transportation in the operational movement of storage points and consumers, changes in supply routes, and delivery vehicle types. Introducing an additional constraint into the three-index biplanar transport problem turns it into a linear programming problem of general form. The three-index transportation problem with extra logistical constraints is given a mathematical formulation. A form of input data presentation in the extended transport tables of transportation costs and time spent on cargo transportation is given. An easy way to solve this kind of problem using the simplex method is demonstrated in the Microsoft Excel spreadsheet processor "Solver" add-on. The article presents the results of solving a multimodal transportation problem with logistical constraints in Microsoft Excel using the example of the delivery of material and technical means by three types of transport (road, rail, and river), with time and cost constraints. The example uses conditional input data for the simulation of the delivery of cargo from three Ukrainian cities (storage points) to the other three (consumption points).