I assume it is either a $2 or $5 bill since those are the only denominations issued that year as a red seal U.S. Note.
Unfortunately they are common items among collectors and are only worth face value if circulated, or about uncirculated.
Red seals were standard on United States Notes for all denominations. Please check your bill's denomination and see one of the following for more information: "What is the value of a 1963 US 2 dollar bill with a red seal?" "What is the value of a 1963 US 5 dollar bill with a red seal?"
There were no silver certificates dated 1963. The banner across the top of your bill and its red ink indicate that it's a United States Note. Please see the question "What is the value of a 1963 A US 2 dollar bill?" for more information.
Its red ink indicates your bill is a United States Note and not a certificate. Certificates were issued for gold, up to 1933, and for silver, up to 1957. None were dated 1963. There's more information at the Related Question.
There were no silver certificates dated 1963; in fact, the last $2 silver certificates were issued in 1899. The banner across the top of your bill and its red ink indicate that it's a United States Note. Please see the question "What is the value of a 1963 US 2 dollar bill?" for more information.
Please check your bill again. As the banner across its top indicates, it's a United States Note and not a gold certificate or gold note. The US hasn't printed gold bills since the 1920s, and the last $5 gold notes was issued from 1870 to 1874. There's more information the at question "What is the value of a 1963 US 5 dollar bill with a red seal?"
1963
Red seals were standard on United States Notes for all denominations. Please check your bill's denomination and see one of the following for more information: "What is the value of a 1963 US 2 dollar bill with a red seal?" "What is the value of a 1963 US 5 dollar bill with a red seal?"
There were no silver certificates dated 1963. The banner across the top of your bill and its red ink indicate that it's a United States Note. Please see the question "What is the value of a 1963 A US 2 dollar bill?" for more information.
Its red ink indicates your bill is a United States Note and not a certificate. Certificates were issued for gold, up to 1933, and for silver, up to 1957. None were dated 1963. There's more information at the Related Question.
There were no silver certificates dated 1963; in fact, the last $2 silver certificates were issued in 1899. The banner across the top of your bill and its red ink indicate that it's a United States Note. Please see the question "What is the value of a 1963 US 2 dollar bill?" for more information.
Please check your bill again. As the banner across its top indicates, it's a United States Note and not a gold certificate or gold note. The US hasn't printed gold bills since the 1920s, and the last $5 gold notes was issued from 1870 to 1874. There's more information the at question "What is the value of a 1963 US 5 dollar bill with a red seal?"
Please check your bill again and post a new, separate question:There were no 1963 A United States NotesFederal Reserve Notes are different from United States Notes. They are/were issued by different agencies; the most obvious distinction is that Federal Reserve Notes have green seals while US Notes used red printing.
Your United States Note is worth $20 to $50 retail, depending on how worn it is. 1928 was the last time $1 bills were printed as red-seal United States Notes.
The government stopped the issue of gold certificate in 1933 You probably have a US Note - it'll say UNITED STATES NOTE right at the top of the bill over Jefferson's picture. Please see the Related Question for more information.
Value of 1963 one dollar star note
Your United States Note is worth $20 to $50 retail, depending on how worn it is. 1928 was the last time $1 bills were printed as red-seal United States Notes. They were followed the same year by blue-seal $1 silver certificates, and the current green-seal $1 Federal Reserve Note series was introduced in 1963.
Even though many $5 bills were issued as US Notes, the last were dated 1963. The banner across the top and the green seal on a 2003 bill indicate it's a Federal Reserve Note. As such, it's too new and too widely available to have any extra value.