Lin's Rockets will play in both Taiwan, where his parents are from, and the Philippines as the side look to court another outbreak of the 'Linsanity' that raised the point guard's profile last year.
The Los Angeles-born player, who joined Houston from the New York Knicks last summer, is the first American of Taiwanese descent to play in the NBA.
His parents, Lin Gie-ming and Shirley Lin, emigrated to the United States in the mid-1970s and are dual nationals of Taiwan and the United States.
The Rockets will start their Asian swing against the Indiana Pacers in Manilla on October 10, before playing the same side in the Taipai Arena three days later.
Kobe Bryant will also travel to Asia with the Los Angeles Lakers, who will face the Golden State Warriors in China later that month.
We look forward to the opportunity to play in front our Chinese fans," said Tim Harris, Lakers vice president of business operations.
The matches crown a total of eight NBA matches being played overseas in October, which will also feature the Oklahoma City Thunder, Philadelphia 76ers, Washington Wizards and Chicago Bulls.
The Thunder will play October 5 against Fenerbahce Ulker in Istanbul and on October 8 against the 76ers in Manchester, England. The Sixers also play against Uxue Bilbao Basket in Bilbao, Spain, on October 6. The Bulls and the Wizards face off in Rio de Janeiro on October 12.
The NBA has staged 138 preseason and regular-season games in 19 countries and territories across Europe, the Americas and Asia since 1978.
Meanwhile the Boston Celtics defeated the 76ers 109-101 last night, with Paul Pierce scoring 18 points and 11 rebounds, and Avery Bradley chipping in with 22 points.
The Celtics continued their push up the Eastern Conference standings as Kevin Garnett scored 18.
Pierce led the way as the Celtics controlled the game and used a 9-0 run midway through the fourth quarter to seal the win.
The defeat was a ninth in 10 for the 76ers who are out of the play-off picture.
Jrue Holiday had 18 points and 10 assists for the Sixers. Thaddeus Young had 19 points and 10 rebounds.
Oklahoma City Thunder held off the second half charge of the Los Angeles Lakers to win 122-105.
Russell Westbrook had 37 points and 10 rebounds and Kevin Durant scored 26 as the thunder led from the opening stages.
The lead had been reduced to five midway through the fourth quarter before the Thunder scored the last 12 points.
After leaving the game with a right elbow injury in the first quarter Bryant ended up with 30 points.
Steve Nash matched his season best with 20 points.
The Denver Nuggets won their sixth straight game with a 120-113 success against the Sacramento Kings.
Ty Lawson had 24 points and Danilo Gallinari added 23 for the Nuggets who had a 36-point third quarter to make their season-best third straight win on the road.
For Denver Kenneth Faried had 19 points and 12 rebounds, Andre Miller scored 16 and Kosta Koufos had 15 points.
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