* Market reaches lowest level since Jan. 13 at 2,370 rgt/T

* Rising output forecast, stronger ringgit and weaker exports depress market -trader

(Recasts, updates prices)

21/06/2016 (Reuters) - Malaysian palm oil futures hit a more than five-month low on Tuesday, their 11th fall in 12 sessions, as a stronger ringgit and bearish fundamentals pulled down markets, and as traders forecast output would rise in the coming months.

The ringgit, the currency palm is traded in, gained 0.7 percent to 4.0320 against the dollar in late trade on Tuesday, making palm oil more expensive for foreign currency holders.

Benchmark palm oil futures for September delivery on the Bursa Malaysia Derivatives Exchange dropped 1.1 percent to 2,374 ringgit ($588) per tonne at the close of trade on Tuesday.

It earlier hit 2,370 ringgit, the lowest since Jan. 13.

Palm saw its sharpest weekly decline in 8 months last week, and has lost 9.4 percent so far this month, on track for its worst month since Aug. 2014.

Traded volumes stood at 46,135 lots of 25 tonnes each in the evening.

"We're seeing a continued downward trend on a strong ringgit, poor exports and rising production," said a trader from Kuala Lumpur.

Export demand is expected to taper off after Ramadan, the Muslim religious season that typically sees a higher demand for palm oil for cooking.

Exports decline after the festival period, and demand is seen cooling until the Hindu festival season of Diwali in October.

Output in Malaysia (MYPOMP-CPOTT) is forecast to climb towards the end of the year, contributing to higher inventory levels and weighing on prices.

May production rose nearly 5 percent month-on-month, while exports rose 9.3 percent on Ramadan demand.

Data from cargo surveyors showed palm oil shipments from Malaysia fell in the first 20 days of June, down 8-10 percent from the corresponding period in May.

In competing vegetable oils, the Chicago Board of Trade soyoil contract for July rose 0.4 percent, while the September soybean oil contract on the Dalian Commodity Exchange gained 0.3 percent.

Palm, soy and crude oil prices at 1011 GMT:

Contract Month Last Change Low High Volume

MY PALM OIL JUL6 2432 -11.00 2430 2460 314

MY PALM OIL AUG6 2390 -26.00 2389 2438 6207

MY PALM OIL SEP6 2372 -28.00 2370 2423 23755

CHINA PALM OLEIN SEP6 5048 -62.00 5030 5144 891504

CHINA SOYOIL SEP6 5958 +20.00 5914 6044 694908

CBOT SOY OIL JUL6 31.76 +0.12 31.53 31.95 6661

INDIA PALM OIL JUN6 511.00 -3.00 508.80 513 791

INDIA SOYOIL JUL6 646.5 +0.40 644.3 647.8 35540

NYMEX CRUDE JUL6 48.95 -0.42 48.87 49.32 1559

Palm oil prices in Malaysian ringgit per tonne
CBOT soy oil in U.S. cents per pound
Dalian soy oil and RBD palm olein in Chinese yuan per tonne
India soy oil in Indian rupee per 10 kg
Crude in U.S. dollars per barrel

($1 = 4.0320 ringgit)
($1 = 67.5450 Indian rupees)
($1 = 6.5819 Chinese yuan)