Part-of-speech (POS) tagging is a process of labeling each word in a sentence with a morphosyntactic class (verb, noun, adjective and etc). POS tagging is a fundamental part of the linguistic pipeline, most natural language processing (NLP) applications demand, at some step, part-of-speech information. In this work, we constructed a POS tagger for Contemporary Portuguese and Historical Portuguese, using a recurrent neural network architecture. Traditionally the development of these tools requires many handcraft features and external data, our POS tagger does not use these elements. We trained a Bidirectional Long short-term memory (BLSTM) network that benefits from the word embeddings and character embeddings representations of the words, for morphosyntactic classification. We tested our POS tagger on three different corpora: the original version of the Mac-Morpho corpus, the revised version of the Mac-Morpho corpus, and the Tycho Brahe corpus. We produce state-of-the-art POS taggers for the three corpora: 97.83 percent accuracy on the original Mac-Morpho corpus, 97.65 percent accuracy on the revised Mac-Morpho and 97.35 percent accuracy on the Tycho Brahe corpus. We also achieved an improvement in the three corpora in out-of-vocabulary accuracy, that is the accuracy on words not seen in training sentences. We also performed a comparative study to test which different types of word embeddings (Word2Vec, FastText, Wang2Vec, and Glove) is more suitable for Portuguese POS tagging. The Wang2Vec model showed higher performance.