'acknowledge the receipt' is correct and can be used in written English.
You can use it when acknowledging that you have received something, such as a payment or a shipment. For example: "We acknowledge the receipt of your payment of $500."
"You are evidently a dishonest scamp, but I acknowledge the receipt of all letters," he wrote one correspondent.
Therefore we wish publicly to acknowledge the receipt of letters or wires from the following persons or organizations; Non-Partison Comm.
While failing to honor an R.S.V.P. is deplorable, it's no more acceptable to ignore an inquiry from a friend, or to fail to acknowledge the receipt of information that had been requested.
I headed for the airport, wishing that I had the brass to use, for an e-mail out-of-office auto-reply, Boz's boilerplate: Dear Sir I beg to acknowledge the receipt of your obliging letter, and to assure you that my time and attention are far too much occupied, to admit of my having the pleasure you propose to me.
Both the husband and wife should acknowledge the receipt of the certificate with their signatures.
(5) Join-Ack,,,,, ,, : this message is used by neighboring nodes to acknowledge the receipt of a Join request.
He signed his name very legibly to the document, acknowledging the receipt of Handel's Works.
They are mostly boilerplate stuff, acknowledging the receipt of papers and informing her of delays.
Both were dated July 13 , 1994 both acknowledged the receipt of two hundred thousand dollars and laid out a fee agreement.
The report said that while the Israeli Army "has acknowledged the receipt of the protests from the U.N. it has failed to explain why the attack was not halted".
Instead, the board simply acknowledged the receipt of the changes from Roosevelt County, where a court-supervised review in turned up more than 500 votes for president that had not been counted.
