How can I remove noise in my preamplifier circuit?
I guess you have an electret mic which works like this:

I guess you built the preamp because you either tried the mic as is (some audio inputs allow it, they have the needed DC circuit) or you inserted a resistor, capacitor and DC voltage as shown in the datasheet, but the sensitivity was so low that to get acceptably high recording level one must shout if the distance is say 5 inches. Normal speech is enough if the distance is say 1...2 inches.
You feel you do not ask anything special, because you have seen for ex. in TV how the mic can be 1 meter or even more away from the talker and still it catches the voice with no audible hiss. You have seen older answers to questions which want quite the same and they all seem to give only some coarse general suggestions such as

have a battery, computer operating voltage is not clean enough
do not expect that uA741 or LM358 can work as ultra low noise audio preamp; forget that 50 years old crap and use some serious design with serious parts
have a grounded metal case and shielded cables
prevent all digital circuit supply current to go through audio circuit ground wiring
bring all interfering radio transmitters out of the house or at least a few meters away (wifi, bluetooth, phones...)
etc... (see NOTE1)

but none of them tell what's the right circuit - a simple clean amp, which lifts the level up but doesn't insert any audible hiss. That's what's asked. No more sophistry nor belittling comments, thank you!!!!
Let's make some elementary math. The mic sensitivity is about 44dB below 1V/Pa. That means one pascal sound pressure generates voltage about 6mV.
One pascal is a hefty level. Human speech at 1 meter distance is maybe 10 millipascals. i.e. 40dB below 1Pa. The mic outputs with that sound level 60 microvolts.
The datasheet has S/N spec. The noise level at the mic output would be 60 dB below the signal level in case the audio pressure level was 1Pa. The normal speech at 1 meter generates 40 dB below 1Pa, so the noise is only 20dB below the normal speech signal. That means 60 microvolts of speech mixed with 6 microvolts of noise. That's very audible hiss. No preamp can help because that was the noise generated inside the mic. More likely a low cost preamp can add several microvolts its own noise to the mic signal but that depends radically on used parts and design (see NOTE2) The only way to win the noise is to have louder sound. Bringing the mic to 1...2 inches away from the mouth probably is enough.
Professional recording equipment are based on more sensitive mics which have less noisy internal electronics. Of course, the preamp must be in the same league. Designing that preamp really shows who understands high quality audio electronics and who doesn't.
NOTE1: Those general comments should be taken seriously. If you do not obey them your case is hopeless.
NOTE2: This Maxim mic preamp IC is a good example of noise spec for low cost amp https://www.maximintegrated.com/en/products/analog/audio/MAX9814.html
It has audio band noise voltage spectral density 30nV/sqrt(Hz). Full 20kHz audio band gets 4,2 microvolts and that's added to the mic signal. RMS geometric voltage sum with mic's noise  6uV  gives total 7,3uV (NOT 10.4 uV).
Hints for better preamp designs are useful only if one has also a better mic. Some preamp design ideas and actual circuits can be found from here: http://www.janascard.cz/PDF/Design%20of%20ultra%20low%20noise%20amplifiers.pdf
I have not built the circuits to test them, but they at least look plausible and the given explanations do the same.