By Juan Montes 

MEXICO CITY--Mexico's central bank stood pat on rates Thursday, as widely expected, adopting a cautious stance ahead of a potential rate increase in the U.S.

The Bank of Mexico left the overnight interest-rate target unchanged at a record low 3%. The central bank has cut rates four times in the last two years to support a sluggish economy.

But increasing expectations that the U.S. Federal Reserve will raise rates in coming months for the first time since 2008 has led Mexico's central bank to start considering a tightening of monetary policy to support the peso.

The central bank, in its statement Thursday, said it is "closely watching" any change in Fed's policy and its impact on the exchange rate.

Most analysts expect the Bank of Mexico to react to a Fed move, rather than increasing rates pre-emptively, as economic growth remains persistently slow. The consensus is that Mexico's central bank will increase rates later this year.

Private consumption in Mexico showed signs of recovery at the beginning of the year as retail sales expanded well above expectations, but industrial production weakened. Inflation, meanwhile, is now below the central bank's 3% target.

The Mexican central bank's five-member board said the economy remains weak and that growth prospects have deteriorated, mainly because of a slowdown in manufacturing exports. The bank also noted its concern about falling oil production.

The expected rate increase in the U.S. has recently led to a depreciation of the peso against the U.S. dollar and heavy volatility in Mexican financial markets. Still, the most recent statement from the Fed suggesting a first rate move won't come until June or September has taken some pressure off the peso in recent days.

In its policy statement, the Bank of Mexico said further peso depreciation and episodes of volatility can't be ruled out, "especially given the uncertainty surrounding the start of the normalization of U.S. monetary policy."

Bank of Mexico Gov. Agustín Carstens has left the door open to move before or after the Fed's expected decision to increase rates.

Mr. Carstens has also said the central bank doesn't rule out "more aggressive measures" to support the peso, an unusual statement for a central bank seen as one of Latin America's most orthodox, and one that generally adopts a hands-off approach to the exchange rate.

Interventions could involve direct dollar sales by the bank if there were a drastic move in the exchange rate, he said last week.

The central bank has already launched two different types of dollar auctions to increase dollar liquidity in the exchange market. The bank is currently selling $52 million daily, and on days when the peso weakens 1.5% from the previous session's fixing it offers an additional $200 million.

The bank said the peso depreciation hasn't translated yet into higher consumer prices, with inflation expectations well-anchored. Annual inflation slowed to 2.97% in the first half of March, below the central bank's 3% permanent target.

Write to Juan Montes at juan.montes@wsj.com