No it wasn't and neither have any of the others been approved. Use was “authorized” under a EUA
Emergency
Use
Authorization.
Approval if it comes will be in late 2022/ early 2023
https://childrenshealthdefense.org/wp-content/uploads/VRBPAC-10.22.20-Meeting-Transcript.pdf
Pg 35
Turning to Emergency Use Authorization now, based on the declaration by the Secretary of Health and Human Services over a public health emergency that involves the virus that causes COVID-19 earlier this year, FDA may issue an Emergency Use Authorization — or EUA — after it has determined that certain statutory requirements are met. Of note, an EUA is different from product approval. During an EUA, the FDA can authorize the emergency use of unapproved — that means investigational products — to diagnose, treat, or prevent serious or life-threatening diseases or conditions caused by threat agents such as COVID-19 when there are no adequate approved or available alternatives.
That is why the “vaccines” are only being strongly encouraged, military included, and not required for now.
https://www.statnews.com/2021/02/23/federal-law-prohibits-employers-and-others-from-requiring-vaccination-with-a-covid-19-vaccine-distributed-under-an-eua/
Please read what I wrote more carefully. I said the smallpox vaccine was approved by the FDA, and the COVID-19 vaccines are NOT approved by the FDA.