First off, the "NEC"
is actually / officially NFPA 70, they are not different standards, they are different names for the same standard.
Each state has its own rules as to a) whether they "adopt" the NEC and b) which VERSION they adopt; it is not uniform across the country. Below is a map showing the adoption across the US (as of the time of this posting):
WITHIN the NEC,
there is no provision directly REQUIRING listing by UL or any other agency, collectively referred to as "NRTLs" for Nationally Recognized Testing Labs. But what there is are several places within the NEC imposing
requirements that can only be met by having an NRTL listing. I know, it's semantically similar, but not exactly the same thing.
ONE of those areas is Article 409, which requires that Industrial Control Panels be marked with a Short Circuit Current Rating (SCCR), and that the SCCR be obtained by "an approved method". It then goes on, in an "Informational Note" to tell you that one such "approved method" is laid out in UL508A Supplement SB. the fact is that unless ALL of the components have been assembled and
TESTED by the manufacturer, UL508A is actually the only PRACTICAL method of attaining it.
In addition, Article
90.7 Examination of Equipment for Safety, goes on to say:
It is the intent of this Code that factory-installed internal
wiring or the construction of equipment need not be
inspected at the time of installation of the equipment, except
to detect alterations or if the equipment has
been listed by a qualified electrical testing laboratory that is
recognized as having the facilities described in the preceding paragraph and that requires suitability for installation in
accordance with this Code.
What that means is that you don't HAVE TO use an NRTL for listing, but if you don't, you are subject to the local inspector doing it. Most inspectors that I run into are LOATHE do do this, it takes a LOT of time in the field. So to "punish" you for forcing them into it, they ALWAYS find something wrong. ALWAYS... That then means red-tagging the entire project until it is corrected, and that will cost money and consternation that nobody wants. That said, many jurisdictions
will have a requirement for an NRTL listing, usually with a "limit" of the number of devices in an assembly below which a listing is not required. For example here in California, it is 5 devices in an assembly, including the box. that can vary by location and by the nature of the components involved.
Next, the NEC has a section on "definitions", Article 100, within which is the following:
Listed. Equipment, materials, or services included in a list
published by an organization that is acceptable to the authority
having jurisdiction and concerned with evaluation
of products or services, that maintains periodic inspection
of production of listed equipment or materials or periodic
evaluation of services, and whose listing states that either
the equipment, material, or service meets appropriate designated
standards or has been tested and found suitable for
a specified purpose.
Followed by another "informational Note";
Informational Note: The means for identifying listed
equipment may vary for each organization concerned with
product evaluation, some of which do not recognize equipment
as listed unless it is also labeled. Use of the system
employed by the listing organization allows the authority
having jurisdiction to identify a listed product.
All by itself this can be loosely interpreted, but in many places within the NEC (too numerous to post), you will find the term "listed" or "listed assembly" for all manner of devices.
Also, "Labeled" is defined:
Labeled. Equipment or materials to which has been attached
a label, symbol, or other identifying mark of an
organization that is acceptable to the authority having jurisdiction
and concerned with product evaluation, that maintains
periodic inspection of production of labeled equipment
or materials, and by whose labeling the manufacturer
indicates compliance with appropriate standards or performance
in a specified manner.
Finally, NEC section 110.2
Approval. The conductors and equipment required or
permitted by this Code shall be acceptable only if approved.
Informational Note: See 90.7, Examination of Equipment
for Safety, and 110.3, Examination, Identification, Installation,
and Use of Equipment. See definitions of Approved,
identified, Labeled, and Listed.
Approved by the way just means "acceptable to the Authority Having Jurisdiction" (AHJ).
So what happens is that each state, municipality, county etc., in adopting the NEC (if they do), will have a section of the local electrical code delineating WHICH of the many NRTLs are acceptable to them. As a gross general rule, most of them defer that to a list maintained by OSHA in the link below:
https://www.osha.gov/dts/otpca/nrtl/nrtllist.html
UL is just ONE OF the NRTLs on that list. However it should be noted that, with the exception of CSA,
most of the other NRTLs will use UL's standards for testing equipment.
So bottom line, the NEC does not specifically SAY that you must have UL listings, but it is implied in many places that you must meet standards, and UL is the standard to meet.