Russia is the world's largest wheat exporter and most of those exports are shipped via its Black Sea ports like Novorossiysk.
Russia's main grain lobby group warned in July that Ukrainian attacks could shut down grain exports via the Black Sea in the near future, pushing up prices and causing hunger in Africa and the Middle East.
Ukrainian President Volodymyr Zelenskiy on Wednesday said Ukraine had hit Russia's Novorossiysk naval base with drones, missiles and unmanned boats.
Russia moved some of its Black Sea Fleet vessels to Novorossiysk after Kyiv's forces attacked them repeatedly in Crimea, which Moscow seized and annexed from Ukraine in 2014.
Veniamin Kondratyev, the governor of Krasnodar region where Novorossiysk is located, said a "massive" wave of Ukrainian attacks had targeted the area and killed at least two people, including an eight-year-old child.
Andrei Kravchenko, the mayor of Novorossiysk, said four unspecified enterprises and more than two dozen residential buildings had been damaged in the attack.
Unverified video on social media showed images of a tower of flames and smoke rising from somewhere in Novorossiysk.
Aside from grain export terminals, Novorossiysk also hosts oil export infrastructure, including for the Caspian Pipeline Consortium (CPC), which is owned partly by US oil majors Chevron and Exxon Mobil and carries Kazakh oil exports to market.
The Financial Times on Wednesday reported Ukraine has halted its strikes on tankers servicing the CPC after a request from US Vice President JD Vance. There was no indication that the CPC or tankers collecting oil from the pipeline had been struck during the overnight attacks.
In Sevastopol in Crimea, more than three dozen drones were downed, the city's Russian-installed governor, Mikhail Razvozhayev, said.
Separately, a Russian attack caused a fire at a shopping mall in the southeastern Ukrainian city of Zaporizhzhia, regional Governor Ivan Fedorov said on Telegram, posting pictures of a building ablaze.
A Russian attack on Odesa, Ukraine's largest seaport, damaged infrastructure there, Serhiy Lysak, head of the city's military administration, said on Telegram, without giving details.
Moscow has intensified its strikes on Ukraine's logistics and warehouse facilities in response to Kyiv's attacks on Russian energy, port and logistic hubs.
Zelenskiy on Tuesday said Kyiv had handed proposals to US negotiators for a plan to end the conflict, which started when Russia launched its full-scale war on Ukraine in February 2022.
Russia says Ukrainian strikes on its grain and agricultural infrastructure are pushing up global food prices and exacerbating grain shortages, something it says serves the interests of some of Ukraine's allies.
Russian foreign ministry spokeswoman Maria Zakharova said: "It is evident that the Kyiv regime's cynical military campaign to incite chaos in the global food market ... serves the interests of certain Western nations."
"All this exacerbates the shortage of grain and fertilisers, fuels the rise in global food prices, and increases the burden on the countries of the Global South and East, which are being held hostage by the irresponsible policies of the aforementioned 'players'."