All payments from Nord Stream AG and Nord Stream 2 AG to Gazprom are to be directed to the Swiss bailiffs, Gazprom said in a programme for a Eurobond issue dated Nov. 9.
Gazprom intends to challenge the injunction in court, TASS news agency quoted the company's chairman, Viktor Zubkov, as saying.
Nord Stream is a 1,224 km (760 mile) pipeline carrying gas from Russia to Europe. Another pipeline, Nord Stream 2, is under construction.
Zubkov was quoted as saying he hoped the injunction would not affect the completion of the Nord Stream 2 pipeline that would transport Russian gas to Germany.
In June 2014, Gazprom and Naftogaz lodged multi-billion-dollar claims against each other with the Stockholm arbitration court, which resolves commercial disputes.
Naftogaz says Gazprom owes it $2.56 billion after a Stockholm court found in Naftogaz's favour following a lengthy legal battle.
Naftogaz did not immediately respond to a request for comment.
A spokesman for the Nord Stream 2 consortium declined comment on the legal proceedings but said they had no impact on the implementation of the pipeline construction project.
In the prospectus for a possible Eurobond issue that was obtained by Reuters, Gazprom also said that on May 30, the District Court of Amsterdam provisionally seized Gazprom's shares in BSPC, the operator of the Blue Stream pipeline, and barred Gazprom's Dutch subsidiaries from making any payments to the Russian gas producer.
Blue Stream carries gas from Russia to Turkey. Gazprom did not elaborate further.
Nord Stream is a joint venture of Gazprom and Germany's Wintershall, PEG Infrastruktur/E.ON, Gasunie of the Netherlands and France's Engie .
Nord Stream 2 AG, which will double the existing Nord Stream 1 capacity from 55 billion cubic metres of gas a year, is owned by Gazprom, which is taking on half of the planned costs of 9.5 billion euros ($10.70 billion), with five European energy companies shouldering the remainder.
In July, Washington repeated a warning to Western firms invested in the pipeline that they were at risk of sanctions, saying Moscow was using the project to divide Europe.