Supersymmetric null and timelike warped AdS and strings in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:mi>D</mml:mi> <mml:mo>=</mml:mo> <mml:mn>3</mml:mn> </mml:mrow> </mml:math> , <mml:math xmlns:mml="h

We classify and construct supersymmetric solutions of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>D</a:mi> <a:mo>=</a:mo> <a:mn>3</a:mn> </a:math> , <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:mi>N</c:mi> <c:mo>=</c:mo> <c:mn>2</c:mn> </c:math> gauged supergravity extended with a Fayet-Iliopoulos term, and null and timelike warped anti–de Sitter (AdS) spacetimes are among them. From the first one, it is possible to obtain a well-defined black hole by periodic identification. We also find charged string solutions that interpolate between two supersymmetric AdS or Minkowski extrema of the scalar potential, one of which corresponds to a horizon with a singularity behind it, and the other which determines the asymptotic geometry.