Sharing a snap of herself and her dog in matching t-shirts emblazoned with hearts in the colours of the Ukrainian flag, she wrote: "Ted and I are proud to stand with #Ukraine.
"As are the incredible, beautiful crew from my latest project. These t-shirts were the most welcomed wrap gifts I’ve ever had the honour to give."
Clarke went on: "My heart is breaking along with so many others over the continued suffering, pain and heartbreak millions are living through in Ukraine.
"As the news comes in everyday it can feel overwhelming, not knowing how any one individual can make any difference to this shocking reality, but, here are a few ways to show your support and send some love."
The star, 35, then added several ways that people could offer help.
"If you want to join us and donate much needed funds, donate to @disastersemergencycommittee," she wrote.
"By doing so you'll help provide food, water, shelter and healthcare to refugees and displaced families.
"If you are in the USA 🇺🇸 you can give to directrelief.org who are working to fulfil the medical needs of Ukraine’s health ministry."
Clarke continued: "The beautifully made (and insanely soft and comfy) t-shirts that Ted, the crew and I are wearing are by the ever magnificent and loving @charliemackesy.
"All proceeds go to @chooselove."
The actor also told her followers on the platform that her photographer friend Jasper Fry was selling some photos he took in Kyiv in 2018, with the proceeds going to Ukraine based charities.
She added the hashtags "#standwithukraine" and "standforlove" to her moving post.
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