I have two computers

computer A
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MSI Z87-G43 INTEL Z87 LGA 1150 ATX
Intel Core i7-4770K Processor (8M Cache,3.50 GHz)

Computer B
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This is an old machine which is more than 2 years old. It has a

ASUS M4A785-M AMD 785G Socket AM2+ Motherboard

on Computer B - I am able to install a Red hat Linux 6.2 but on computer A which is one of the latest model of
computers I am unable to install Red hat Linux 6.2 - it complains that Red hat linux unable to install for this machine.

I guess this version of motherboard/ chipset or bios settings is incorrect.

is it possible to change some setting in the motherboard to handle this ?

hmm that's not a whole lot to go by
first of all are you talking about redhat enterprise 6.2 or RedHat 6.2(codename zoot)
the former is redhat enterprise is commercial, and if you are paying for it, you should ask redhat, if not, i would recommend centos as it's the free equivilent of redhat (essentially an un-branded version built from the same source), if the latter (zoot), that's 13 years old and probably wouldn't work on a 2 year old machine.

either way, if you provide more details (error messages, where durring the install process it fails, bios settings, etc...) we might be able to help

well...actually this is a variant of Redhat called
Oracle Enterprise Linux 6.2 64 bit
but the base is still Red hat / centos

Of course this is an install at home...so...cannot really ask Red hat / Oracle folks
I have done more than 20 installs of Linux but I guess the problem is that this is one of the latest motherboards and not sure if they are doing some hardware acceleration or overclocking of the motherboards

How about this...
I shall try the same new machine (msi motherboard) with centos 6.4 64 bit ???
Howzzat ?

what vs of Oracle Enterprise Linux 6.2 64 bit are you running? what kernel? id try the RHEL compatible kernel over the Oracle "unbreakable" kernel.

you can also do some google searching on the MB you are trying to install, also make 100% you have secure boot disabled in the BIOS.