Atvinnurekandanum ber að skrá vinnuslysið í slysaskrána.

Because the pattern e-m ber að + infinitive takes the person responsible in the dative.

So:

• atvinnurekandi = employer
• atvinnurekandanum = to the employer / the employer in the dative

This construction is a formal way of saying that something is required of someone or someone is obliged to do something.

A very literal breakdown is something like:

• Atvinnurekandanum ber að...
• It falls to the employer to...
• or more naturally, The employer must / is required to...

So even though the employer is the responsible party, Icelandic does not put it in the nominative here.

ber að is a formal, somewhat official expression meaning:

• must
• is obliged to
• is required to
• has to

It comes from the verb bera, but in this construction it does not mean the usual everyday sense of carry.

In legal, administrative, and formal texts, bera að is very common.

So:

• Atvinnurekandanum ber að skrá vinnuslysið...
• The employer is required to register the workplace accident...

It sounds more formal than a sentence with þurfa að.

Yes. Ber is the present tense form of bera.

But Icelandic verbs often have special idiomatic uses, and this is one of them. In the expression e-m ber að + infinitive, bera means something like:

• to be incumbent on
• to be required of
• to fall to someone to do

So the meaning is not the everyday carry/bear meaning.

This is similar to how English verbs can change meaning in fixed expressions. For example, bear responsibility is not the same as physically carrying something.

Here að is the infinitive marker, like English to in to register.

So:

• að skrá = to register

It is not a preposition here. It simply introduces the infinitive after ber.

Compare:

• Mér ber að fara. = I am required to go.
• Honum ber að svara. = He is required to answer.

Vinnuslysið is the definite form of vinnuslys.

• vinnuslys = a workplace accident / work accident
• vinnuslysið = the workplace accident

It has the ending -ið, which is the suffixed definite article for this neuter noun.

In this sentence it is the direct object of skrá, so it means the workplace accident as the thing being registered.

It is in the accusative, because it is the direct object of skrá.

The verb skrá means register, record, enter, and it normally takes an object in the accusative:

• skrá eitthvað = register something

So here:

• skrá vinnuslysið = register the workplace accident

For this noun, the accusative singular definite looks the same as the nominative singular definite, so you see vinnuslysið either way.

Because í can take either the accusative or the dative, depending on meaning.

• accusative after í often suggests movement into something, or entry into a state/place
• dative after í often suggests location in something

Here the idea is entering something into the accident register, so Icelandic uses the accusative:

• í slysaskrána

This is similar to:

• fara í skólann = go to school
• vera í skólanum = be in the school

Even though this is not physical movement, Icelandic treats entering something into a register as movement into it.

Slysaskrána is the definite accusative singular of slysaskrá.

• slys = accident
• skrá = register, record, log
• slysaskrá = accident register / accident log
• slysaskrána = the accident register / the accident log

So:

• í slysaskrána = into the accident register

In more natural English for this whole phrase, you might say:

• record the workplace accident in the accident log
• enter the workplace accident into the accident register

Because Icelandic normally uses a suffixed definite article.

So instead of a separate word like English the, Icelandic often adds an ending to the noun:

• atvinnurekandi = employer

• atvinnurekandinn = the employer

• vinnuslys = workplace accident

• vinnuslysið = the workplace accident

• slysaskrá = accident register
• slysaskrána = the accident register

This is one of the most noticeable differences from English. The article changes form depending on gender, number, and case.

Yes, you could say something like:

• Atvinnurekandinn þarf að skrá vinnuslysið í slysaskrána.

That would mean roughly the same thing: The employer needs to / must register the workplace accident in the accident register.

But the nuance is a little different:

• ber að = more formal, official, legal, administrative
• þarf að = more general, everyday

So in a rule, regulation, handbook, or legal text, ber að is especially natural.

Icelandic word order is fairly flexible, especially in formal writing. Starting with Atvinnurekandanum puts the responsible party first.

That makes good sense in an official statement:

• Atvinnurekandanum ber að...
• The employer is required to...

It highlights who has the obligation.

A more literal English-style structure is not really how this Icelandic construction works, so the dative noun naturally comes first or near the beginning.

Yes, it is often described that way.

In e-m ber að + infinitive, there is no ordinary nominative subject like in a simple sentence such as:

• Atvinnurekandinn skráir slysið. = The employer registers the accident.

Instead, the person involved appears in the dative:

• Atvinnurekandanum ber að skrá...

That is why English learners often feel that the sentence is structured differently from what they expect. Icelandic is expressing obligation resting on someone, not just stating a simple action.

A very literal translation is:

• To the employer falls to register the workplace accident into the accident register.

That is not natural English, but it helps show the structure.

Natural English versions would be:

• The employer must register the workplace accident in the accident register.
• The employer is required to record the workplace accident in the accident log.
• The employer must enter the workplace accident into the accident register.

All of these capture the meaning well, but the Icelandic sentence has a particularly formal, regulatory tone because of ber að.