He resided in Düsseldorf, Paris, Hamburg, Schwerin and Portici, in addition to Wismar.
Martens worked as a merchant until age 40 when he took up art as his full-time vocation.
Martens studied with August Weber in Düsseldorf and Émile Lambinet in Paris.
His work was especially influenced by the Barbizon school masters such as Corot, Daubigny and Diaz.
A painting by Martens was sold July 6, 2004, at auction at Bonhams in London for $790 (US) it was a 27.5 by 35 centimeter oil titled "A river at dusk", the auction report did not disclose a date for the painting.