The Indians beat Oakland 2-1 on Monday night at Progressive Field.
David Huff pitched six shut out innings, striking out four, to earn his second win of the year. Chris Perez grabbed his 30th save.
Kosuke Fukudome gave Cleveland a 1-0 lead with an RBI double scoring Ezekial Carrera, Carlos Santana provided the other run with his 20th homer of the season.
The two teams play the second game of the series on Tuesday night.