CBP Form 7533 at a glance
What it is: This is the Inward Cargo Manifest for vessel under five tons, ferry, train, car, vehicle, etc. of the Department of Homeland Security U.S. Customs and Border Protection (19 CFR 123.4, 123.7, 123.61).
Who signs: The Master or Person in charge enters the Date and signs the Signature line.
A filled-in CBP Form 7533 example: a train's person in charge fills the manifest

How to fill out CBP Form 7533, box by box
Boxes 1 and 2: the conveyance and the master
Boxes 3, 4 and 5: the owner and the ports

Enter in Box 3 the Name (Last, First, M.I.) and Address of Owner, in Box 4 the Foreign Port of Lading and in Box 5 the U.S. Port of Destination.
Insert the word "various" in Box 4 if more than one foreign port of lading is involved, and show the individual ports of lading by name immediately below the description of goods in vertical column number 3.
Boxes 6 and 7: the port and the date of arrival
Bill of Lading, Car Number, Goods and Consignee

Fill in each row under Bill of Lading or Marks & Numbers or Address of Consignee on Packages, Car Number and Initials, Number and Gross Weight (in kilos or pounds) of Packages and Description of Goods, and Name of Consignee. Also on the form is "For Use By CBP only".
If used as entry pursuant to Section 123.7, Customs Regulations, as amended, prepare form in duplicate and show name of shipper, value, and tariff item number immediately below description of goods in vertical column number 3.
Carrier's Certificate and signing

In the Carrier's Certificate to the Port Director of CBP, Port of Arrival, the undersigned carrier certifies that the Name (Last, First, M.I.) you enter is the owner or consignee of such articles within the purview of section 484, Tariff Act of 1930.
By signing you certify that this manifest is correct and true to the best of your knowledge.
The Master or Person in charge enters the Date and signs the Signature line.
More rules for CBP Form 7533
CBP Form 7533 (12/22) Previous Editions are Obsolete.
The estimated average time to complete this application is 6 minutes.
Sources
[1] CBP Form 7533 (12/22), Inward Cargo Manifest, U.S. Customs and Border Protection (the Official source link on this page).



