It was produced between 1966 and 1975. The van was a two door version with corrugated panels obscuring the rear of the vehicle. The earliest versions were fitted with a partition between the driving space and the load area with a small window allowing a view out through the rear window. Later the upper half of the divider was removed and it became possible to access the front of the load area from the cab. The tailgate also changed over time initially it was a split rear door with the lower part laying flat and upper part swinging up. Later a single upwards opening tailgate took its place. The rear window could be replaced by a metal panel to conceal the vehicles contents and official vehicles were often fitted with such solid rear doors. A similar commercial vehicle the Moskvitch 434 was fitted with a more powerful engine of 1478cc rather than the 1340cc fitted to the 433.
The following variations were produced:
- Moskvich-433Yu, intended for areas with hot climates;
- Moskvich-433E, export version;
- Moskvich-433P – right-hand drive.
In December 1969 the Moskvich 433 was modernised in line with car that it was based on, but there were no external differences. It was replaced by the Moskvitch 2733 van in 1976 which was essentially similar but with a restyled front and some mechanical updates.
