Is there any official website to find it?
I can't find it on internet.
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I found cardanowaves.com the other day on r/cardano and it looks useful. Shows over 1M transaction in last 28 days, which is 35K/day. Agrees with previous answer; this may update more dynamically. It updates statistics from the blockchain.
There's a chart here, published on April 14th, which claims it's about 30-40k per day (so roughly 1 per 2-3 seconds), but I don't know how accurate it is.
(Note that the last five data points (on the website, I've cropped them from the image above) are misplaced; they're March dates instead of April.)
You could find the average tps over an Epoch by looking at the transactions over an epoch through the official Cardano explorer . Epoch 260 had 216117 transactions which equates to ~2 tps. This isn't the networks limit of course, there are many empty blocks and you can easily see blocks with > 15 transactions on the explorers homepage.
Saying this, I'd argue a far more interesting value is the bytes/sec because transactions can vary in size. You could find the current theoretical limit with
max_size_of_block / min_size_of_tx. I don't remember these numbers off the top of my head though!
You can also check out ADApools, lots of good statistics there
go there https://cardanoscan.io in search epoch bar search last epoch . you can see Transactions . this is total Transactions in this epoch . you can division on current slot number .
There's also the epoch statistics in adastat.