There are no direct flights from Russia to Iceland, and those who want to get to this Northern Island will have to get with transfers.
Iceland Express and Icelandair fly to Reykjavik, they make regular flights from different cities of Europe. Icelandair airline ticket prices start at 1450 euros. This airline makes flights from Reykjavik in 16 European cities. And the budget airline Iceland Express sells inexpensive tickets and makes regular flights to Copenhagen and London. This airline makes additional flights to the following cities: Paris, Berlin, Stockholm, Frankfurt and several more cities.
It is most convenient to get to Iceland from St. Petersburg through Helsinki. And then transfer to one of the flights that fly to Reykjavik. From May to September, you can get to Iceland by ferry. First, Smyril Line from Denmark or Norway on a comfortable naronia liner, you transfer to Faroe Islands, and then by ferry along with transport already to the island of Iceland.
You can move inside the country with a car or bus, or even local airlines. There are very good roads between cities in the country, a ring highway is laid along the shore.