Is this a run on sentence

It's cold today remember to bring your jacket.

is , It's cold today remember to bring a jacket , a run on sentence

It’s cold today remember to bring your jacket

No, the sentence "It's cold today, remember to bring your jacket" is not a run-on sentence.

A run-on sentence occurs when two or more independent clauses are joined together without proper punctuation or conjunctions. In this case, we only have one independent clause, "It's cold today," followed by a dependent clause, "remember to bring your jacket." The two clauses are correctly joined by using a comma to separate them. So, it is not a run-on sentence.

Yes it is it would be better if two sentences :)

or
Yes it is a run on sentence. It would be better to write two sentences.