The Japanese player has been struggling for fitness since getting injured in Madrid last month and will miss out on the grass-court major for the third year running.
Osaka opted out of playing at SW19 due to her mental health issues and the 2020 edition of the tournament never took place due to the coronavirus pandemic.
The former world number one wrote on social media: "My Achilles still isn't right so I'll see you next time."
Osaka continued: "After the storm comes the calm. This is a saying that I'm actively trying to master.
"I feel like life keeps dealing cards and you're never gonna be used to them but it's how you adapt to uncomfortable situations that really says stuff about your character. I've been repeating mantras in my head a lot recently.
"I don't know if it's to subconsciously help myself through stressful times or to ease my mind into realising that everything will work out fine as long as I put the work in. Cause what more can you do?"
Osaka had previously suggested that the lack of ranking points on offer at Wimbledon - due to the All England Club's decision to ban Russian and Belarusian players from competing - reduced her motivation for playing at the event.
The four-time Grand Slam champion said: "I would say the decision is kind of affecting my mentality going into grass, like I'm not 100 per cent sure if I'm going to go there.
"I would love to go just to get some experience on the grass court, but at the same time, for me, it's kind of like - I don't want to say pointless, no pun intended - but I'm the type of player that gets motivated, by, like, seeing my ranking go up or stuff like that. So I think the intention was really good, but the execution is kind of all over the place."