Sinatra version (sung more often):

ME HOPE YOU HAVE MERRY-CHRISTMAS THIS YEAR.
LET YOUR HEART FEEL LIGHT.
FROM-NOW-ON OUR TROUBLE GONE, NOT BOTHER US.

HOPE YOU HAVE MERRY-CHRISTMAS THIS YEAR.
ALL PROBLEM THROW-AWAY.
FROM-NOW-ON OUR TROUBLE WILL SEEM FAR-AWAY.

HERE WE GATHER LIKE USED-TO-BE.
HAPPY GOLDEN DAY, REMEMBER.
CHERISH FRIENDS WE TRUST SO-MUCH
WILL FLOCK-TO US AGAIN.

EVERY-YEAR #ALL-OF-US TOGETHER,
IF OUR LIFE CAN MESH.
HANG STAR SHINY ON TREE TOP BRANCH.
ME HOPE YOU HAVE MERRY-CHRISTMAS NOW.

Garland version :

ME HOPE YOU HAVE MERRY-CHRISTMAS THIS YEAR.
LET YOUR HEART FEEL LIGHT.
NEXT-YEAR ALL OUR TROUBLE GONE, NOT BOTHER US.

HOPE YOU HAVE MERRY-CHRISTMAS THIS YEAR.
ALL PROBLEM THROW-AWAY.
NEXT-YEAR ALL OUR TROUBLE WILL SEEM FAR-AWAY.

HERE WE GATHER LIKE USED-TO-BE.
HAPPY GOLDEN DAY, REMEMBER.
CHERISH FRIENDS WE TRUST SO-MUCH
WILL FLOCK-TO US AGAIN.

SOMEDAY SOON #ALL-OF-US TOGETHER,
IF OUR LIFE CAN MESH.
WHILE WE WAIT MUST PATIENT LIFE ACCEPT.
SO HOPE YOU HAVE MERRY-CHRISTMAS NOW.

Notes: These are for both versions.

MERRY-CHRISTMAS - A fingerspelled M and then a C move in a circle parallel to the chest.

FROM-NOW-ON - (2h)[B^], POs ><, FOs away, DHFT touches knuckle side of NDHFT and moves away in a downward arc. For a QuickTime movie of this sign, see ASL browser - from now on.

GATHER - (2h)[S], POs down, FOs ><, move > each other while opening to (2h)[5wg].

CHERISH - (2h)[5:], hold FTs by the sides of the chin and move down while maintaining contact and closing to (2h)[S].

FRIENDS - Interlocked (2h)[X] move in a horizontal circle.

FLOCK-TO - (2h)[S], POs > signer, FOs up, move > signer while opening to (2h)[5wg].

#ALL-OF-US - [A], PO > NDS, FO up touches DS shoulder then [L^], PO > signer touches NDS shoulder.

MESH - (2h)[5:], POs towards, FT interlace, then POs change to down while the "gears" mesh smoothly together.

SHINY - (2h)[open 8], POs down, FOs away, twist rapidly at wrists while rising. For a QuickTime file of this sign, see ASL Pro: Shine.

BRANCH - (2h)[1], POs down, FOs away, are held along side one another and touching. The DH moves away and branches out to the DS, while the NDH does not move.

Lyrics:

See Have Yourself a Merry Little Christmas - Wikipedia, the free encyclopedia for a discussion of the two versions. I like Garland's better: it's more poignant and melancholy. Sinatra asks a writer to gladden his version up, and I think it's sappy.

Sinatra version:

Have yourself a merry little Christmas
Let your heart be light.
From now on, our troubles will be out of sight.

Have yourself a merry little Christmas,
Make the Yule-tide gay.
From now on, our troubles will be miles away.

Here we are as in olden days,
Happy golden days of yore.
Faithful friends who are dear to us
Gather near to us once more.

Through the years we all will be together, if the Fates allow.
Hang a shining star upon the highest bough.
And have yourself a merry little Christmas now.

Garland version:

Have yourself a merry little Christmas
Let your heart be light.
Next year all our troubles will be out of sight.

Have yourself a merry little Christmas,
Make the Yule-tide gay.
Next year all our troubles will be miles away.

Once again as in olden days,
Happy golden days of yore.
Faithful friends who were near to us
Will be near to us once more.

Someday soon we all will be together, if the Fates allow.
Until then we'll have to muddle through somehow.
So have yourself a merry little Christmas now.

To hear a performance of this song, go to Judy Garland-Have Yourself A Merry Little Christmas or Christmas Music: "A Merry Little Christmas", Frank Sinatra.