A double-headed piston type compressor, comprising: a rotary shaft having a first end portion and a second end portion; a compressor housing, wherein the compressor housing has a front portion rotatably supporting the first end portion of the rotary shaft, a rear portion rotatably supporting the second end portion of the rotary shaft, a swash plate chamber, a suction pressure zone, and a plurality of cylinder bore pairs arranged around the rotary shaft, each of the cylinder bore pairs having a front cylinder bore and a rear cylinder bore; double-headed pistons inserted into the plurality of cylinder bore pairs respectively so as to reciprocate, each of the double-headed pistons defining a first compression chamber within the front cylinder bore and a second compression chamber within the rear cylinder bore; a swash plate rotatable with the rotary shaft within the swash plate chamber and causing the double-headed pistons to reciprocate within the cylinder bore pairs; a first rotary valve coupled with the rotary shaft so as to be rotatable with the rotary shaft integrally, and having a first introduction passage for introducing a refrigerant from the suction pressure zone into the first compression chambers; a second rotary valve coupled with the rotary shaft so as to be rotatable with the rotary shaft integrally, and having a second introduction passage for introducing a refrigerant from the suction pressure zone into the second compression chambers; first suction passages formed in the compressor housing so as to allow each of the first compression chambers to be connected with the first introduction passage; and second suction passages formed in the compressor housing so as to allow each of the second compression chambers to be connected with the second introduction passage, characterized in that the plurality of cylinder bore pairs are arranged and constructed so that in each cylinder bore pair, a first time period from a first top dead center timing, which timing is when the double-headed piston reaches the top dead center in the first compression chamber, to a first communication start timing, which timing is when the first introduction passage starts to communicate with the first suction passage, is different from a second time period from a second top dead center timing, which timing is when the double-headed piston reaches the top dead center in the second compression chamber, to a second communication start timing, which timing is when the second introduction passage starts to communicate with the second suction passage. a rotary shaft having a first end portion and a second end portion; a compressor housing, wherein the compressor housing has a front portion rotatably supporting the first end portion of the rotary shaft, a rear portion rotatably supporting the second end portion of the rotary shaft, a swash plate chamber, a suction pressure zone, and a plurality of cylinder bore pairs arranged around the rotary shaft, each of the cylinder bore pairs having a front cylinder bore and a rear cylinder bore; double-headed pistons inserted into the plurality of cylinder bore pairs respectively so as to reciprocate, each of the double-headed pistons defining a first compression chamber within the front cylinder bore and a second compression chamber within the rear cylinder bore; a swash plate rotatable with the rotary shaft within the swash plate chamber and causing the double-headed pistons to reciprocate within the cylinder bore pairs; a first rotary valve coupled with the rotary shaft so as to be rotatable with the rotary shaft integrally, and having a first introduction passage for introducing a refrigerant from the suction pressure zone into the first compression chambers; a second rotary valve coupled with the rotary shaft so as to be rotatable with the rotary shaft integrally, and having a second introduction passage for introducing a refrigerant from the suction pressure zone into the second compression chambers; first suction passages formed in the compressor housing so as to allow each of the first compression chambers to be connected with the first introduction passage; and second suction passages formed in the compressor housing so as to allow each of the second compression chambers to be connected with the second introduction passage, characterized in that the plurality of cylinder bore pairs are arranged and constructed so that in each cylinder bore pair, a first time period from a first top dead center timing, which timing is when the double-headed piston reaches the top dead center in the first compression chamber, to a first communication start timing, which timing is when the first introduction passage starts to communicate with the first suction passage, is different from a second time period from a second top dead center timing, which timing is when the double-headed piston reaches the top dead center in the second compression chamber, to a second communication start timing, which timing is when the second introduction passage starts to communicate with the second suction passage.