Sounds like a trivial question and is not, because the two compete for the same square centimetre of face.
The geometry problem
Glasses rest on two points: the nose pads, which sit on the sides of the bony bridge, and the ears.
A nasal strip needs to span the soft part of the nose just below where the bone ends — roughly two thirds of the way down — with its ends on the fleshy sidewalls.
On most faces those zones are adjacent, and on some they overlap. Nose pads sitting low, or a strip placed slightly high, and you get one on top of the other.
Two consequences. The pads press on the strip, deforming it so the spring cannot pull evenly, and the glasses sit unstably on a springy surface, sliding down all evening.
The practical answer
For most people, most of the time, this does not matter — because you wear a nasal strip to sleep in, and you take your glasses off to sleep.
The real overlap is the hour before bed: reading, screens, evening routine, glasses still on. And that is easily solved by applying the strip last, immediately before lights out, which is better practice anyway. Adhesive bonds best to clean, dry skin, and a strip applied at 9pm has had three hours of skin oil and face-touching to work against it by the time you lie down.
Apply the strip after the glasses come off. Problem gone.
If you genuinely need both at once
Some people do — reading in bed for a while, or wearing amber lenses through a long evening while already congested.
Place the strip lower. Even a few millimetres of downward adjustment often clears the pads. Do not go so low that the ends land on the nostril rims, which is the commonest placement error and stops the strip working entirely. (Exactly where it goes.)
Adjust the pads. On metal frames the pad arms bend. Widening them slightly raises the frame off the bridge and clears the strip. Any optician will do this in two minutes for free.
Switch to a frame with a saddle bridge — acetate frames that rest on the bridge rather than on separate pads distribute the contact differently and often clear the strip entirely.
Accept a slightly worse seal, if it is only for twenty minutes of reading. A strip that is compressed for part of the evening still works once the glasses come off.
Blue-light glasses specifically
This comes up because both belong to the same evening routine, and the sequencing is easy.
Amber lenses do their work in the two to three hours before bed, reducing the evening light signal that delays melatonin. The strip does its work during sleep. They do not need to be on your face simultaneously at all. (Why amber and not clear.)
Wear the glasses through the evening, take them off as part of getting into bed, then apply the strip. If you use all three, the order that works is glasses off, wash and dry the nose, strip on, tape last.
The same question for mouth tape
Different answer: no conflict at all. Mouth tape sits across the lips, nowhere near where glasses rest. You can read in bed in your glasses with tape already on — though there is little reason to, since tape is also best applied immediately before lying down. (Running a strip and tape together.)
The bottom line
They compete for the same spot, and the fix is sequencing rather than engineering: apply the strip after the glasses come off, right before you lie down.
If you truly need both together, drop the strip a few millimetres or have an optician widen your nose pads. And blue-light glasses are an evening tool while a strip is an overnight one — they were never meant to overlap.