TREASURIES-US yields narrowly mixed ahead of inflation data

* U.S. 10-year note auction results were mixed

* Focus on Thursday's U.S. CPI

* U.S. rate futures price in 68% chance of March rate cut

NEW YORK, Jan 10 (Reuters) - U.S. Treasury yields were mixed, with those on the shorter-end of the curve slightly lower on Wednesday, as investors priced in a consumer price index (CPI) report that could show declining inflation, moving the Federal Reserve closer to the end of its tightening cycle.

A mixed to decent U.S. 10-year note auction added to Treasury bids and briefly weighed on prices. The U.S. Treasury will next auction $21 billion in 30-year bonds on Friday.

But the main focus is the December CPI data due on Thursday, which will shed further light on when the Fed could start cutting rates. U.S. producer prices will be released on Friday.

U.S. core CPI is forecast to remain unchanged at 0.3% from the month before, while the year-on-year number is seen rising at a lower-than-expected pace of 3.8% from November, a Reuters poll showed. Headline CPI for the month is forecast to climb 0.2%.

"Everyone is waiting for CPI tomorrow (Thursday), which should set up the next wave of Fed commentary," said Will Compernolle, macro strategist at FHN Financial in New York. "So I see the moves in Treasuries as pre-CPI positioning."

He said core inflation of 0.3% is on the high side, which he believes could push out expectations for the first rate cut from March to May.

On Wednesday, however, the U.S. rate futures market has priced in a nearly 68% chance of a rate cut in March, according to LSEG's rate probability app. For 2024, traders are betting on about five rate cuts of 25 basis points (bps) each, putting the year-end fed funds rate at nearly 4%.

"We think that the start of the rate-cutting cycle in March is realistic, a view that we've held since October. It all comes down to the inflation data," said Zachary Griffiths, senior investment grade strategist at CreditSights in Charlotte, North Carolina.

"The recent trend is still supportive of inflation moving lower throughout 2024. It comes down to the idea of the Fed not wanting to incrementally tighten the real policy rate by leaving the nominal policy rate steady as inflation comes down," he added.

In afternoon trading, the benchmark 10-year yield rose 1.9 bps to 4.034%.

The U.S. 10-year note auction showed a high yield of 4.024%, modestly higher than the market's forecast of around 4.19%, suggesting investors demanded a slight premium.

Bids totaled $94.8 billion for a 2.56 bid-to-cover ratio, a gauge of demand, higher than last month's 2.53 and the 2.48 average. It ties for the best since February, according to Action Economics.

Indirect bidders, which include foreign central banks, took down 66.1% of supply, higher than the 63.8% last month.

"Ten-year demand seems to be pretty solid," said CreditSights' Griffiths. "It doesn't seem that we're headed back to 5% in yield any time soon as indicated by the 10-year demand today."

In other maturities, U.S. 30-year bond yields were up 1.5 bps at 4.198%.

On the shorter-end of the curve, the two-year yield was little changed at 4.366%.

A closely tracked U.S. yield curve metric, showing the gap in yields between two- and 10-year notes steepened or narrowed its inversion to minus 33.9 bps on Wednesday. An inverted yield curve typically predicts an incoming recession.

This part of the curve, which has been inverted since July 2022, has been on a steepening trend over the last few months, suggesting investors are pricing the end of the Fed's rate-hiking cycle. (Reporting by Gertrude Chavez-Dreyfuss; Editing by Will Dunham and Richard Chang)