最简单的方法可能是覆盖sys.stdout。从多处理手册中稍微修改一个示例：

from multiprocessing import Process
import os
import sys

def info(title):
    print title
    print 'module name:', __name__
    print 'parent process:', os.getppid()
    print 'process id:', os.getpid()

def f(name):
    sys.stdout = open(str(os.getpid()) + ".out", "w")
    info('function f')
    print 'hello', name

if __name__ == '__main__':
    p = Process(target=f, args=('bob',))
    p.start()
    q = Process(target=f, args=('fred',))
    q.start()
    p.join()
    q.join()

并运行它：

$ ls
m.py
$ python m.py
$ ls
27493.out  27494.out  m.py
$ cat 27493.out 
function f
module name: __main__
parent process: 27492
process id: 27493
hello bob
$ cat 27494.out 
function f
module name: __main__
parent process: 27492
process id: 27494
hello fred